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Finding the Third Proportional to 560,696 and 838,720

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Solution

The third proportional to 560,696 and 838,720 is: 1,254,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,696 : 838,720 = 838,720 : x
  2. Step 2: Convert to fraction form
    560,696/838,720 = 838,720/x
  3. Step 3: Cross multiply
    560,696x = 838,720 × 838,720
  4. Step 4: Simplify right side
    560,696x = 703,451,238,400
  5. Step 5: Solve for x
    x = 703,451,238,400/560,696
  6. Step 6: Final answer
    x = 1,254,603.63

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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.