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Finding the Third Proportional to 408,960 and 619,776

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Solution

The third proportional to 408,960 and 619,776 is: 939,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,960 : 619,776 = 619,776 : x
  2. Step 2: Convert to fraction form
    408,960/619,776 = 619,776/x
  3. Step 3: Cross multiply
    408,960x = 619,776 × 619,776
  4. Step 4: Simplify right side
    408,960x = 384,122,290,176
  5. Step 5: Solve for x
    x = 384,122,290,176/408,960
  6. Step 6: Final answer
    x = 939,266.16

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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.