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Finding the Third Proportional to 71,346 and 153,730

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Solution

The third proportional to 71,346 and 153,730 is: 331,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,346 : 153,730 = 153,730 : x
  2. Step 2: Convert to fraction form
    71,346/153,730 = 153,730/x
  3. Step 3: Cross multiply
    71,346x = 153,730 × 153,730
  4. Step 4: Simplify right side
    71,346x = 23,632,912,900
  5. Step 5: Solve for x
    x = 23,632,912,900/71,346
  6. Step 6: Final answer
    x = 331,243.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.