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Finding the Third Proportional to 156,317.91 and 318,160.69

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Solution

The third proportional to 156,317.91 and 318,160.69 is: 647,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,317.91 : 318,160.69 = 318,160.69 : x
  2. Step 2: Convert to fraction form
    156,317.91/318,160.69 = 318,160.69/x
  3. Step 3: Cross multiply
    156,317.91x = 318,160.69 × 318,160.69
  4. Step 4: Simplify right side
    156,317.91x = 101,226,223,070.47
  5. Step 5: Solve for x
    x = 101,226,223,070.47/156,317.91
  6. Step 6: Final answer
    x = 647,566.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.