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Finding the Third Proportional to 277,654,849,310 and 390,999,211,763

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Solution

The third proportional to 277,654,849,310 and 390,999,211,763 is: 550,613,050,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,654,849,310 : 390,999,211,763 = 390,999,211,763 : x
  2. Step 2: Convert to fraction form
    277,654,849,310/390,999,211,763 = 390,999,211,763/x
  3. Step 3: Cross multiply
    277,654,849,310x = 390,999,211,763 × 390,999,211,763
  4. Step 4: Simplify right side
    277,654,849,310x = 152,880,383,599,287,327,522,816
  5. Step 5: Solve for x
    x = 152,880,383,599,287,327,522,816/277,654,849,310
  6. Step 6: Final answer
    x = 550,613,050,624.58

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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.