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Finding the Third Proportional to 141,381 and 307,730

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Solution

The third proportional to 141,381 and 307,730 is: 669,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,381 : 307,730 = 307,730 : x
  2. Step 2: Convert to fraction form
    141,381/307,730 = 307,730/x
  3. Step 3: Cross multiply
    141,381x = 307,730 × 307,730
  4. Step 4: Simplify right side
    141,381x = 94,697,752,900
  5. Step 5: Solve for x
    x = 94,697,752,900/141,381
  6. Step 6: Final answer
    x = 669,805.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.