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Finding the Third Proportional to 130,856 and 283,840

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Solution

The third proportional to 130,856 and 283,840 is: 615,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,856 : 283,840 = 283,840 : x
  2. Step 2: Convert to fraction form
    130,856/283,840 = 283,840/x
  3. Step 3: Cross multiply
    130,856x = 283,840 × 283,840
  4. Step 4: Simplify right side
    130,856x = 80,565,145,600
  5. Step 5: Solve for x
    x = 80,565,145,600/130,856
  6. Step 6: Final answer
    x = 615,677.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.