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Finding the Third Proportional to 78,038 and 170,946

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Solution

The third proportional to 78,038 and 170,946 is: 374,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,038 : 170,946 = 170,946 : x
  2. Step 2: Convert to fraction form
    78,038/170,946 = 170,946/x
  3. Step 3: Cross multiply
    78,038x = 170,946 × 170,946
  4. Step 4: Simplify right side
    78,038x = 29,222,534,916
  5. Step 5: Solve for x
    x = 29,222,534,916/78,038
  6. Step 6: Final answer
    x = 374,465.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.