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Finding the Third Proportional to 31,229,691.75 and 67,671,703.13

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Solution

The third proportional to 31,229,691.75 and 67,671,703.13 is: 146,637,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229,691.75 : 67,671,703.13 = 67,671,703.13 : x
  2. Step 2: Convert to fraction form
    31,229,691.75/67,671,703.13 = 67,671,703.13/x
  3. Step 3: Cross multiply
    31,229,691.75x = 67,671,703.13 × 67,671,703.13
  4. Step 4: Simplify right side
    31,229,691.75x = 4,579,459,403,838,135
  5. Step 5: Solve for x
    x = 4,579,459,403,838,135/31,229,691.75
  6. Step 6: Final answer
    x = 146,637,995.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.