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Finding the Third Proportional to 458,680 and 674,537

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Solution

The third proportional to 458,680 and 674,537 is: 991,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,680 : 674,537 = 674,537 : x
  2. Step 2: Convert to fraction form
    458,680/674,537 = 674,537/x
  3. Step 3: Cross multiply
    458,680x = 674,537 × 674,537
  4. Step 4: Simplify right side
    458,680x = 455,000,164,369
  5. Step 5: Solve for x
    x = 455,000,164,369/458,680
  6. Step 6: Final answer
    x = 991,977.34

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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.