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Finding the Third Proportional to 521,428 and 787,974

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Solution

The third proportional to 521,428 and 787,974 is: 1,190,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,428 : 787,974 = 787,974 : x
  2. Step 2: Convert to fraction form
    521,428/787,974 = 787,974/x
  3. Step 3: Cross multiply
    521,428x = 787,974 × 787,974
  4. Step 4: Simplify right side
    521,428x = 620,903,024,676
  5. Step 5: Solve for x
    x = 620,903,024,676/521,428
  6. Step 6: Final answer
    x = 1,190,774.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.