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Finding the Third Proportional to 288,618 and 421,755

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Solution

The third proportional to 288,618 and 421,755 is: 616,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,618 : 421,755 = 421,755 : x
  2. Step 2: Convert to fraction form
    288,618/421,755 = 421,755/x
  3. Step 3: Cross multiply
    288,618x = 421,755 × 421,755
  4. Step 4: Simplify right side
    288,618x = 177,877,280,025
  5. Step 5: Solve for x
    x = 177,877,280,025/288,618
  6. Step 6: Final answer
    x = 616,306.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.