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Finding the Third Proportional to 560,307 and 838,480.50

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Solution

The third proportional to 560,307 and 838,480.50 is: 1,254,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,307 : 838,480.50 = 838,480.50 : x
  2. Step 2: Convert to fraction form
    560,307/838,480.50 = 838,480.50/x
  3. Step 3: Cross multiply
    560,307x = 838,480.50 × 838,480.50
  4. Step 4: Simplify right side
    560,307x = 703,049,548,880.25
  5. Step 5: Solve for x
    x = 703,049,548,880.25/560,307
  6. Step 6: Final answer
    x = 1,254,757.75

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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.