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Finding the Third Proportional to 19,658,580 and 30,771,228

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Solution

The third proportional to 19,658,580 and 30,771,228 is: 48,165,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658,580 : 30,771,228 = 30,771,228 : x
  2. Step 2: Convert to fraction form
    19,658,580/30,771,228 = 30,771,228/x
  3. Step 3: Cross multiply
    19,658,580x = 30,771,228 × 30,771,228
  4. Step 4: Simplify right side
    19,658,580x = 946,868,472,627,984
  5. Step 5: Solve for x
    x = 946,868,472,627,984/19,658,580
  6. Step 6: Final answer
    x = 48,165,659.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.