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Finding the Third Proportional to 581,600 and 853,230

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Solution

The third proportional to 581,600 and 853,230 is: 1,251,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,600 : 853,230 = 853,230 : x
  2. Step 2: Convert to fraction form
    581,600/853,230 = 853,230/x
  3. Step 3: Cross multiply
    581,600x = 853,230 × 853,230
  4. Step 4: Simplify right side
    581,600x = 728,001,432,900
  5. Step 5: Solve for x
    x = 728,001,432,900/581,600
  6. Step 6: Final answer
    x = 1,251,721.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.