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Finding the Third Proportional to 130,495 and 278,081

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Solution

The third proportional to 130,495 and 278,081 is: 592,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,495 : 278,081 = 278,081 : x
  2. Step 2: Convert to fraction form
    130,495/278,081 = 278,081/x
  3. Step 3: Cross multiply
    130,495x = 278,081 × 278,081
  4. Step 4: Simplify right side
    130,495x = 77,329,042,561
  5. Step 5: Solve for x
    x = 77,329,042,561/130,495
  6. Step 6: Final answer
    x = 592,582.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.