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Finding the Third Proportional to 125,085 and 289,330.50

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Solution

The third proportional to 125,085 and 289,330.50 is: 669,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,085 : 289,330.50 = 289,330.50 : x
  2. Step 2: Convert to fraction form
    125,085/289,330.50 = 289,330.50/x
  3. Step 3: Cross multiply
    125,085x = 289,330.50 × 289,330.50
  4. Step 4: Simplify right side
    125,085x = 83,712,138,230.25
  5. Step 5: Solve for x
    x = 83,712,138,230.25/125,085
  6. Step 6: Final answer
    x = 669,242.02

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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.