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Finding the Third Proportional to 367,428 and 787,344

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Solution

The third proportional to 367,428 and 787,344 is: 1,687,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,428 : 787,344 = 787,344 : x
  2. Step 2: Convert to fraction form
    367,428/787,344 = 787,344/x
  3. Step 3: Cross multiply
    367,428x = 787,344 × 787,344
  4. Step 4: Simplify right side
    367,428x = 619,910,574,336
  5. Step 5: Solve for x
    x = 619,910,574,336/367,428
  6. Step 6: Final answer
    x = 1,687,162.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.