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Finding the Third Proportional to 78,897 and 170,430

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Solution

The third proportional to 78,897 and 170,430 is: 368,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,897 : 170,430 = 170,430 : x
  2. Step 2: Convert to fraction form
    78,897/170,430 = 170,430/x
  3. Step 3: Cross multiply
    78,897x = 170,430 × 170,430
  4. Step 4: Simplify right side
    78,897x = 29,046,384,900
  5. Step 5: Solve for x
    x = 29,046,384,900/78,897
  6. Step 6: Final answer
    x = 368,155.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.