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Finding the Third Proportional to 400,073 and 619,280

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Solution

The third proportional to 400,073 and 619,280 is: 958,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,073 : 619,280 = 619,280 : x
  2. Step 2: Convert to fraction form
    400,073/619,280 = 619,280/x
  3. Step 3: Cross multiply
    400,073x = 619,280 × 619,280
  4. Step 4: Simplify right side
    400,073x = 383,507,718,400
  5. Step 5: Solve for x
    x = 383,507,718,400/400,073
  6. Step 6: Final answer
    x = 958,594.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.