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Finding the Third Proportional to 78,470 and 170,044

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Solution

The third proportional to 78,470 and 170,044 is: 368,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470 : 170,044 = 170,044 : x
  2. Step 2: Convert to fraction form
    78,470/170,044 = 170,044/x
  3. Step 3: Cross multiply
    78,470x = 170,044 × 170,044
  4. Step 4: Simplify right side
    78,470x = 28,914,961,936
  5. Step 5: Solve for x
    x = 28,914,961,936/78,470
  6. Step 6: Final answer
    x = 368,484.29

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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.