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Finding the Third Proportional to 158,570 and 217,445

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Solution

The third proportional to 158,570 and 217,445 is: 298,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,570 : 217,445 = 217,445 : x
  2. Step 2: Convert to fraction form
    158,570/217,445 = 217,445/x
  3. Step 3: Cross multiply
    158,570x = 217,445 × 217,445
  4. Step 4: Simplify right side
    158,570x = 47,282,328,025
  5. Step 5: Solve for x
    x = 47,282,328,025/158,570
  6. Step 6: Final answer
    x = 298,179.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.