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Finding the Third Proportional to 77,140.69 and 168,699.38

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Solution

The third proportional to 77,140.69 and 168,699.38 is: 368,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140.69 : 168,699.38 = 168,699.38 : x
  2. Step 2: Convert to fraction form
    77,140.69/168,699.38 = 168,699.38/x
  3. Step 3: Cross multiply
    77,140.69x = 168,699.38 × 168,699.38
  4. Step 4: Simplify right side
    77,140.69x = 28,459,479,125.39
  5. Step 5: Solve for x
    x = 28,459,479,125.39/77,140.69
  6. Step 6: Final answer
    x = 368,929.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.