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Finding the Third Proportional to 346,637 and 517,080

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Solution

The third proportional to 346,637 and 517,080 is: 771,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,637 : 517,080 = 517,080 : x
  2. Step 2: Convert to fraction form
    346,637/517,080 = 517,080/x
  3. Step 3: Cross multiply
    346,637x = 517,080 × 517,080
  4. Step 4: Simplify right side
    346,637x = 267,371,726,400
  5. Step 5: Solve for x
    x = 267,371,726,400/346,637
  6. Step 6: Final answer
    x = 771,330.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.