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Finding the Third Proportional to 158,598 and 215,289

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Solution

The third proportional to 158,598 and 215,289 is: 292,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 215,289 = 215,289 : x
  2. Step 2: Convert to fraction form
    158,598/215,289 = 215,289/x
  3. Step 3: Cross multiply
    158,598x = 215,289 × 215,289
  4. Step 4: Simplify right side
    158,598x = 46,349,353,521
  5. Step 5: Solve for x
    x = 46,349,353,521/158,598
  6. Step 6: Final answer
    x = 292,244.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.