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Finding the Third Proportional to 80,358 and 153,423

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Solution

The third proportional to 80,358 and 153,423 is: 292,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,358 : 153,423 = 153,423 : x
  2. Step 2: Convert to fraction form
    80,358/153,423 = 153,423/x
  3. Step 3: Cross multiply
    80,358x = 153,423 × 153,423
  4. Step 4: Simplify right side
    80,358x = 23,538,616,929
  5. Step 5: Solve for x
    x = 23,538,616,929/80,358
  6. Step 6: Final answer
    x = 292,921.89

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.