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Finding the Third Proportional to 84,135,892 and 129,243,032

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Solution

The third proportional to 84,135,892 and 129,243,032 is: 198,533,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135,892 : 129,243,032 = 129,243,032 : x
  2. Step 2: Convert to fraction form
    84,135,892/129,243,032 = 129,243,032/x
  3. Step 3: Cross multiply
    84,135,892x = 129,243,032 × 129,243,032
  4. Step 4: Simplify right side
    84,135,892x = 16,703,761,320,553,024
  5. Step 5: Solve for x
    x = 16,703,761,320,553,024/84,135,892
  6. Step 6: Final answer
    x = 198,533,122.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.