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Finding the Third Proportional to 71,460 and 159,835

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Solution

The third proportional to 71,460 and 159,835 is: 357,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,460 : 159,835 = 159,835 : x
  2. Step 2: Convert to fraction form
    71,460/159,835 = 159,835/x
  3. Step 3: Cross multiply
    71,460x = 159,835 × 159,835
  4. Step 4: Simplify right side
    71,460x = 25,547,227,225
  5. Step 5: Solve for x
    x = 25,547,227,225/71,460
  6. Step 6: Final answer
    x = 357,503.88

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.