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Finding the Third Proportional to 78,464 and 170,024

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Solution

The third proportional to 78,464 and 170,024 is: 368,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,464 : 170,024 = 170,024 : x
  2. Step 2: Convert to fraction form
    78,464/170,024 = 170,024/x
  3. Step 3: Cross multiply
    78,464x = 170,024 × 170,024
  4. Step 4: Simplify right side
    78,464x = 28,908,160,576
  5. Step 5: Solve for x
    x = 28,908,160,576/78,464
  6. Step 6: Final answer
    x = 368,425.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.