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Finding the Third Proportional to 171,639 and 371,587.50

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Solution

The third proportional to 171,639 and 371,587.50 is: 804,463.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,639 : 371,587.50 = 371,587.50 : x
  2. Step 2: Convert to fraction form
    171,639/371,587.50 = 371,587.50/x
  3. Step 3: Cross multiply
    171,639x = 371,587.50 × 371,587.50
  4. Step 4: Simplify right side
    171,639x = 138,077,270,156.25
  5. Step 5: Solve for x
    x = 138,077,270,156.25/171,639
  6. Step 6: Final answer
    x = 804,463.26

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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.