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Finding the Third Proportional to 393,690.38 and 610,765.31

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Solution

The third proportional to 393,690.38 and 610,765.31 is: 947,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,690.38 : 610,765.31 = 610,765.31 : x
  2. Step 2: Convert to fraction form
    393,690.38/610,765.31 = 610,765.31/x
  3. Step 3: Cross multiply
    393,690.38x = 610,765.31 × 610,765.31
  4. Step 4: Simplify right side
    393,690.38x = 373,034,266,953.22
  5. Step 5: Solve for x
    x = 373,034,266,953.22/393,690.38
  6. Step 6: Final answer
    x = 947,532.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.