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Finding the Third Proportional to 278,312 and 418,748

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Solution

The third proportional to 278,312 and 418,748 is: 630,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312 : 418,748 = 418,748 : x
  2. Step 2: Convert to fraction form
    278,312/418,748 = 418,748/x
  3. Step 3: Cross multiply
    278,312x = 418,748 × 418,748
  4. Step 4: Simplify right side
    278,312x = 175,349,887,504
  5. Step 5: Solve for x
    x = 175,349,887,504/278,312
  6. Step 6: Final answer
    x = 630,047.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.