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Finding the Third Proportional to 115,146 and 169,428

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Solution

The third proportional to 115,146 and 169,428 is: 249,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,146 : 169,428 = 169,428 : x
  2. Step 2: Convert to fraction form
    115,146/169,428 = 169,428/x
  3. Step 3: Cross multiply
    115,146x = 169,428 × 169,428
  4. Step 4: Simplify right side
    115,146x = 28,705,847,184
  5. Step 5: Solve for x
    x = 28,705,847,184/115,146
  6. Step 6: Final answer
    x = 249,299.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.