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Finding the Third Proportional to 130,520 and 281,776

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Solution

The third proportional to 130,520 and 281,776 is: 608,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,520 : 281,776 = 281,776 : x
  2. Step 2: Convert to fraction form
    130,520/281,776 = 281,776/x
  3. Step 3: Cross multiply
    130,520x = 281,776 × 281,776
  4. Step 4: Simplify right side
    130,520x = 79,397,714,176
  5. Step 5: Solve for x
    x = 79,397,714,176/130,520
  6. Step 6: Final answer
    x = 608,318.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.