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Finding the Third Proportional to 130,561.88 and 207,506.81

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Solution

The third proportional to 130,561.88 and 207,506.81 is: 329,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,561.88 : 207,506.81 = 207,506.81 : x
  2. Step 2: Convert to fraction form
    130,561.88/207,506.81 = 207,506.81/x
  3. Step 3: Cross multiply
    130,561.88x = 207,506.81 × 207,506.81
  4. Step 4: Simplify right side
    130,561.88x = 43,059,077,233.91
  5. Step 5: Solve for x
    x = 43,059,077,233.91/130,561.88
  6. Step 6: Final answer
    x = 329,798.24

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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.