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Finding the Third Proportional to 277,654,849,662 and 390,999,212,190

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Solution

The third proportional to 277,654,849,662 and 390,999,212,190 is: 550,613,051,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,654,849,662 : 390,999,212,190 = 390,999,212,190 : x
  2. Step 2: Convert to fraction form
    277,654,849,662/390,999,212,190 = 390,999,212,190/x
  3. Step 3: Cross multiply
    277,654,849,662x = 390,999,212,190 × 390,999,212,190
  4. Step 4: Simplify right side
    277,654,849,662x = 152,880,383,933,200,633,692,160
  5. Step 5: Solve for x
    x = 152,880,383,933,200,633,692,160/277,654,849,662
  6. Step 6: Final answer
    x = 550,613,051,129.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.