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Finding the Third Proportional to 402,166 and 589,717

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Solution

The third proportional to 402,166 and 589,717 is: 864,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,166 : 589,717 = 589,717 : x
  2. Step 2: Convert to fraction form
    402,166/589,717 = 589,717/x
  3. Step 3: Cross multiply
    402,166x = 589,717 × 589,717
  4. Step 4: Simplify right side
    402,166x = 347,766,140,089
  5. Step 5: Solve for x
    x = 347,766,140,089/402,166
  6. Step 6: Final answer
    x = 864,732.82

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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.