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Finding the Third Proportional to 130,764 and 202,842

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Solution

The third proportional to 130,764 and 202,842 is: 314,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,764 : 202,842 = 202,842 : x
  2. Step 2: Convert to fraction form
    130,764/202,842 = 202,842/x
  3. Step 3: Cross multiply
    130,764x = 202,842 × 202,842
  4. Step 4: Simplify right side
    130,764x = 41,144,876,964
  5. Step 5: Solve for x
    x = 41,144,876,964/130,764
  6. Step 6: Final answer
    x = 314,649.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.