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Finding the Third Proportional to 125,090 and 289,343

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Solution

The third proportional to 125,090 and 289,343 is: 669,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,090 : 289,343 = 289,343 : x
  2. Step 2: Convert to fraction form
    125,090/289,343 = 289,343/x
  3. Step 3: Cross multiply
    125,090x = 289,343 × 289,343
  4. Step 4: Simplify right side
    125,090x = 83,719,371,649
  5. Step 5: Solve for x
    x = 83,719,371,649/125,090
  6. Step 6: Final answer
    x = 669,273.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.