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Finding the Third Proportional to 178,423 and 392,332

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Solution

The third proportional to 178,423 and 392,332 is: 862,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,423 : 392,332 = 392,332 : x
  2. Step 2: Convert to fraction form
    178,423/392,332 = 392,332/x
  3. Step 3: Cross multiply
    178,423x = 392,332 × 392,332
  4. Step 4: Simplify right side
    178,423x = 153,924,398,224
  5. Step 5: Solve for x
    x = 153,924,398,224/178,423
  6. Step 6: Final answer
    x = 862,693.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.