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Finding the Third Proportional to 90,918 and 198,358

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Solution

The third proportional to 90,918 and 198,358 is: 432,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,918 : 198,358 = 198,358 : x
  2. Step 2: Convert to fraction form
    90,918/198,358 = 198,358/x
  3. Step 3: Cross multiply
    90,918x = 198,358 × 198,358
  4. Step 4: Simplify right side
    90,918x = 39,345,896,164
  5. Step 5: Solve for x
    x = 39,345,896,164/90,918
  6. Step 6: Final answer
    x = 432,762.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.