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Finding the Third Proportional to 176,600 and 392,430

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Solution

The third proportional to 176,600 and 392,430 is: 872,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,600 : 392,430 = 392,430 : x
  2. Step 2: Convert to fraction form
    176,600/392,430 = 392,430/x
  3. Step 3: Cross multiply
    176,600x = 392,430 × 392,430
  4. Step 4: Simplify right side
    176,600x = 154,001,304,900
  5. Step 5: Solve for x
    x = 154,001,304,900/176,600
  6. Step 6: Final answer
    x = 872,034.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.