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Finding the Third Proportional to 42,561,642 and 66,038,109

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Solution

The third proportional to 42,561,642 and 66,038,109 is: 102,463,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561,642 : 66,038,109 = 66,038,109 : x
  2. Step 2: Convert to fraction form
    42,561,642/66,038,109 = 66,038,109/x
  3. Step 3: Cross multiply
    42,561,642x = 66,038,109 × 66,038,109
  4. Step 4: Simplify right side
    42,561,642x = 4,361,031,840,295,881
  5. Step 5: Solve for x
    x = 4,361,031,840,295,881/42,561,642
  6. Step 6: Final answer
    x = 102,463,900.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.