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Finding the Third Proportional to 157,248 and 329,076

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Solution

The third proportional to 157,248 and 329,076 is: 688,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,248 : 329,076 = 329,076 : x
  2. Step 2: Convert to fraction form
    157,248/329,076 = 329,076/x
  3. Step 3: Cross multiply
    157,248x = 329,076 × 329,076
  4. Step 4: Simplify right side
    157,248x = 108,291,013,776
  5. Step 5: Solve for x
    x = 108,291,013,776/157,248
  6. Step 6: Final answer
    x = 688,663.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.