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Finding the Third Proportional to 156,316.08 and 318,156.61

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Solution

The third proportional to 156,316.08 and 318,156.61 is: 647,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,316.08 : 318,156.61 = 318,156.61 : x
  2. Step 2: Convert to fraction form
    156,316.08/318,156.61 = 318,156.61/x
  3. Step 3: Cross multiply
    156,316.08x = 318,156.61 × 318,156.61
  4. Step 4: Simplify right side
    156,316.08x = 101,223,628,089.00
  5. Step 5: Solve for x
    x = 101,223,628,089.00/156,316.08
  6. Step 6: Final answer
    x = 647,557.37

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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.