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Finding the Third Proportional to 427,513 and 676,919

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Solution

The third proportional to 427,513 and 676,919 is: 1,071,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,513 : 676,919 = 676,919 : x
  2. Step 2: Convert to fraction form
    427,513/676,919 = 676,919/x
  3. Step 3: Cross multiply
    427,513x = 676,919 × 676,919
  4. Step 4: Simplify right side
    427,513x = 458,219,332,561
  5. Step 5: Solve for x
    x = 458,219,332,561/427,513
  6. Step 6: Final answer
    x = 1,071,825.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.