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Finding the Third Proportional to 560,400 and 838,620

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Solution

The third proportional to 560,400 and 838,620 is: 1,254,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,400 : 838,620 = 838,620 : x
  2. Step 2: Convert to fraction form
    560,400/838,620 = 838,620/x
  3. Step 3: Cross multiply
    560,400x = 838,620 × 838,620
  4. Step 4: Simplify right side
    560,400x = 703,283,504,400
  5. Step 5: Solve for x
    x = 703,283,504,400/560,400
  6. Step 6: Final answer
    x = 1,254,967.00

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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.