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Finding the Third Proportional to 78,162.47 and 159,089.06

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Solution

The third proportional to 78,162.47 and 159,089.06 is: 323,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162.47 : 159,089.06 = 159,089.06 : x
  2. Step 2: Convert to fraction form
    78,162.47/159,089.06 = 159,089.06/x
  3. Step 3: Cross multiply
    78,162.47x = 159,089.06 × 159,089.06
  4. Step 4: Simplify right side
    78,162.47x = 25,309,329,807.13
  5. Step 5: Solve for x
    x = 25,309,329,807.13/78,162.47
  6. Step 6: Final answer
    x = 323,804.13

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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.