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Finding the Third Proportional to 400,248 and 608,624

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Solution

The third proportional to 400,248 and 608,624 is: 925,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,248 : 608,624 = 608,624 : x
  2. Step 2: Convert to fraction form
    400,248/608,624 = 608,624/x
  3. Step 3: Cross multiply
    400,248x = 608,624 × 608,624
  4. Step 4: Simplify right side
    400,248x = 370,423,173,376
  5. Step 5: Solve for x
    x = 370,423,173,376/400,248
  6. Step 6: Final answer
    x = 925,484.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.