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Finding the Third Proportional to 128,432 and 201,464

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Solution

The third proportional to 128,432 and 201,464 is: 316,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,432 : 201,464 = 201,464 : x
  2. Step 2: Convert to fraction form
    128,432/201,464 = 201,464/x
  3. Step 3: Cross multiply
    128,432x = 201,464 × 201,464
  4. Step 4: Simplify right side
    128,432x = 40,587,743,296
  5. Step 5: Solve for x
    x = 40,587,743,296/128,432
  6. Step 6: Final answer
    x = 316,025.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.