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Finding the Third Proportional to 103,411,080 and 157,265,712

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Solution

The third proportional to 103,411,080 and 157,265,712 is: 239,166,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,411,080 : 157,265,712 = 157,265,712 : x
  2. Step 2: Convert to fraction form
    103,411,080/157,265,712 = 157,265,712/x
  3. Step 3: Cross multiply
    103,411,080x = 157,265,712 × 157,265,712
  4. Step 4: Simplify right side
    103,411,080x = 24,732,504,170,866,944
  5. Step 5: Solve for x
    x = 24,732,504,170,866,944/103,411,080
  6. Step 6: Final answer
    x = 239,166,868.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.