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Finding the Third Proportional to 609,768 and 919,147.50

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Solution

The third proportional to 609,768 and 919,147.50 is: 1,385,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,768 : 919,147.50 = 919,147.50 : x
  2. Step 2: Convert to fraction form
    609,768/919,147.50 = 919,147.50/x
  3. Step 3: Cross multiply
    609,768x = 919,147.50 × 919,147.50
  4. Step 4: Simplify right side
    609,768x = 844,832,126,756.25
  5. Step 5: Solve for x
    x = 844,832,126,756.25/609,768
  6. Step 6: Final answer
    x = 1,385,497.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.