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Finding the Third Proportional to 147,497.20 and 316,499.91

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Solution

The third proportional to 147,497.20 and 316,499.91 is: 679,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,497.20 : 316,499.91 = 316,499.91 : x
  2. Step 2: Convert to fraction form
    147,497.20/316,499.91 = 316,499.91/x
  3. Step 3: Cross multiply
    147,497.20x = 316,499.91 × 316,499.91
  4. Step 4: Simplify right side
    147,497.20x = 100,172,190,656.26
  5. Step 5: Solve for x
    x = 100,172,190,656.26/147,497.20
  6. Step 6: Final answer
    x = 679,146.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.