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Finding the Third Proportional to 230,942 and 345,490

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Solution

The third proportional to 230,942 and 345,490 is: 516,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,942 : 345,490 = 345,490 : x
  2. Step 2: Convert to fraction form
    230,942/345,490 = 345,490/x
  3. Step 3: Cross multiply
    230,942x = 345,490 × 345,490
  4. Step 4: Simplify right side
    230,942x = 119,363,340,100
  5. Step 5: Solve for x
    x = 119,363,340,100/230,942
  6. Step 6: Final answer
    x = 516,854.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.