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Finding the Third Proportional to 78,470 and 167,714

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Solution

The third proportional to 78,470 and 167,714 is: 358,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470 : 167,714 = 167,714 : x
  2. Step 2: Convert to fraction form
    78,470/167,714 = 167,714/x
  3. Step 3: Cross multiply
    78,470x = 167,714 × 167,714
  4. Step 4: Simplify right side
    78,470x = 28,127,985,796
  5. Step 5: Solve for x
    x = 28,127,985,796/78,470
  6. Step 6: Final answer
    x = 358,455.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.