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Finding the Third Proportional to 315,432 and 476,428

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Solution

The third proportional to 315,432 and 476,428 is: 719,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,432 : 476,428 = 476,428 : x
  2. Step 2: Convert to fraction form
    315,432/476,428 = 476,428/x
  3. Step 3: Cross multiply
    315,432x = 476,428 × 476,428
  4. Step 4: Simplify right side
    315,432x = 226,983,639,184
  5. Step 5: Solve for x
    x = 226,983,639,184/315,432
  6. Step 6: Final answer
    x = 719,596.11

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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.