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Finding the Third Proportional to 641,280 and 1,015,395

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Solution

The third proportional to 641,280 and 1,015,395 is: 1,607,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,280 : 1,015,395 = 1,015,395 : x
  2. Step 2: Convert to fraction form
    641,280/1,015,395 = 1,015,395/x
  3. Step 3: Cross multiply
    641,280x = 1,015,395 × 1,015,395
  4. Step 4: Simplify right side
    641,280x = 1,031,027,006,025
  5. Step 5: Solve for x
    x = 1,031,027,006,025/641,280
  6. Step 6: Final answer
    x = 1,607,764.17

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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.