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Finding the Third Proportional to 130,850 and 287,505.13

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Solution

The third proportional to 130,850 and 287,505.13 is: 631,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,850 : 287,505.13 = 287,505.13 : x
  2. Step 2: Convert to fraction form
    130,850/287,505.13 = 287,505.13/x
  3. Step 3: Cross multiply
    130,850x = 287,505.13 × 287,505.13
  4. Step 4: Simplify right side
    130,850x = 82,659,196,901.27
  5. Step 5: Solve for x
    x = 82,659,196,901.27/130,850
  6. Step 6: Final answer
    x = 631,709.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.