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Finding the Third Proportional to 130,479 and 278,043

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Solution

The third proportional to 130,479 and 278,043 is: 592,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,479 : 278,043 = 278,043 : x
  2. Step 2: Convert to fraction form
    130,479/278,043 = 278,043/x
  3. Step 3: Cross multiply
    130,479x = 278,043 × 278,043
  4. Step 4: Simplify right side
    130,479x = 77,307,909,849
  5. Step 5: Solve for x
    x = 77,307,909,849/130,479
  6. Step 6: Final answer
    x = 592,493.12

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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.