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Finding the Third Proportional to 508,215 and 748,243

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Solution

The third proportional to 508,215 and 748,243 is: 1,101,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,215 : 748,243 = 748,243 : x
  2. Step 2: Convert to fraction form
    508,215/748,243 = 748,243/x
  3. Step 3: Cross multiply
    508,215x = 748,243 × 748,243
  4. Step 4: Simplify right side
    508,215x = 559,867,587,049
  5. Step 5: Solve for x
    x = 559,867,587,049/508,215
  6. Step 6: Final answer
    x = 1,101,635.31

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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.