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Finding the Third Proportional to 78,521 and 163,090

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Solution

The third proportional to 78,521 and 163,090 is: 338,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,521 : 163,090 = 163,090 : x
  2. Step 2: Convert to fraction form
    78,521/163,090 = 163,090/x
  3. Step 3: Cross multiply
    78,521x = 163,090 × 163,090
  4. Step 4: Simplify right side
    78,521x = 26,598,348,100
  5. Step 5: Solve for x
    x = 26,598,348,100/78,521
  6. Step 6: Final answer
    x = 338,741.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.