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Finding the Third Proportional to 77,316.19 and 119,715.47

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Solution

The third proportional to 77,316.19 and 119,715.47 is: 185,366.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,316.19 : 119,715.47 = 119,715.47 : x
  2. Step 2: Convert to fraction form
    77,316.19/119,715.47 = 119,715.47/x
  3. Step 3: Cross multiply
    77,316.19x = 119,715.47 × 119,715.47
  4. Step 4: Simplify right side
    77,316.19x = 14,331,793,458.03
  5. Step 5: Solve for x
    x = 14,331,793,458.03/77,316.19
  6. Step 6: Final answer
    x = 185,366.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.