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Finding the Third Proportional to 78,277.69 and 174,484.13

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Solution

The third proportional to 78,277.69 and 174,484.13 is: 388,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,277.69 : 174,484.13 = 174,484.13 : x
  2. Step 2: Convert to fraction form
    78,277.69/174,484.13 = 174,484.13/x
  3. Step 3: Cross multiply
    78,277.69x = 174,484.13 × 174,484.13
  4. Step 4: Simplify right side
    78,277.69x = 30,444,709,877.02
  5. Step 5: Solve for x
    x = 30,444,709,877.02/78,277.69
  6. Step 6: Final answer
    x = 388,932.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.