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Finding the Third Proportional to 278,618 and 406,248

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Solution

The third proportional to 278,618 and 406,248 is: 592,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,618 : 406,248 = 406,248 : x
  2. Step 2: Convert to fraction form
    278,618/406,248 = 406,248/x
  3. Step 3: Cross multiply
    278,618x = 406,248 × 406,248
  4. Step 4: Simplify right side
    278,618x = 165,037,437,504
  5. Step 5: Solve for x
    x = 165,037,437,504/278,618
  6. Step 6: Final answer
    x = 592,343.06

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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.