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Finding the Third Proportional to 239,813 and 351,943

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Solution

The third proportional to 239,813 and 351,943 is: 516,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,813 : 351,943 = 351,943 : x
  2. Step 2: Convert to fraction form
    239,813/351,943 = 351,943/x
  3. Step 3: Cross multiply
    239,813x = 351,943 × 351,943
  4. Step 4: Simplify right side
    239,813x = 123,863,875,249
  5. Step 5: Solve for x
    x = 123,863,875,249/239,813
  6. Step 6: Final answer
    x = 516,501.92

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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.