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Finding the Third Proportional to 130,428 and 207,315

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Solution

The third proportional to 130,428 and 207,315 is: 329,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,428 : 207,315 = 207,315 : x
  2. Step 2: Convert to fraction form
    130,428/207,315 = 207,315/x
  3. Step 3: Cross multiply
    130,428x = 207,315 × 207,315
  4. Step 4: Simplify right side
    130,428x = 42,979,509,225
  5. Step 5: Solve for x
    x = 42,979,509,225/130,428
  6. Step 6: Final answer
    x = 329,526.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.