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Finding the Third Proportional to 411,460 and 626,658

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Solution

The third proportional to 411,460 and 626,658 is: 954,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,460 : 626,658 = 626,658 : x
  2. Step 2: Convert to fraction form
    411,460/626,658 = 626,658/x
  3. Step 3: Cross multiply
    411,460x = 626,658 × 626,658
  4. Step 4: Simplify right side
    411,460x = 392,700,248,964
  5. Step 5: Solve for x
    x = 392,700,248,964/411,460
  6. Step 6: Final answer
    x = 954,406.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.