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Finding the Third Proportional to 267,490 and 415,518

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Solution

The third proportional to 267,490 and 415,518 is: 645,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,490 : 415,518 = 415,518 : x
  2. Step 2: Convert to fraction form
    267,490/415,518 = 415,518/x
  3. Step 3: Cross multiply
    267,490x = 415,518 × 415,518
  4. Step 4: Simplify right side
    267,490x = 172,655,208,324
  5. Step 5: Solve for x
    x = 172,655,208,324/267,490
  6. Step 6: Final answer
    x = 645,464.16

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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.