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Finding the Third Proportional to 130,558 and 278,185

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Solution

The third proportional to 130,558 and 278,185 is: 592,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,558 : 278,185 = 278,185 : x
  2. Step 2: Convert to fraction form
    130,558/278,185 = 278,185/x
  3. Step 3: Cross multiply
    130,558x = 278,185 × 278,185
  4. Step 4: Simplify right side
    130,558x = 77,386,894,225
  5. Step 5: Solve for x
    x = 77,386,894,225/130,558
  6. Step 6: Final answer
    x = 592,739.58

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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.