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Finding the Third Proportional to 78,107 and 170,348

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Solution

The third proportional to 78,107 and 170,348 is: 371,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107 : 170,348 = 170,348 : x
  2. Step 2: Convert to fraction form
    78,107/170,348 = 170,348/x
  3. Step 3: Cross multiply
    78,107x = 170,348 × 170,348
  4. Step 4: Simplify right side
    78,107x = 29,018,441,104
  5. Step 5: Solve for x
    x = 29,018,441,104/78,107
  6. Step 6: Final answer
    x = 371,521.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.