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Finding the Third Proportional to 315,428 and 476,422

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Solution

The third proportional to 315,428 and 476,422 is: 719,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,428 : 476,422 = 476,422 : x
  2. Step 2: Convert to fraction form
    315,428/476,422 = 476,422/x
  3. Step 3: Cross multiply
    315,428x = 476,422 × 476,422
  4. Step 4: Simplify right side
    315,428x = 226,977,922,084
  5. Step 5: Solve for x
    x = 226,977,922,084/315,428
  6. Step 6: Final answer
    x = 719,587.11

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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.