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Finding the Third Proportional to 560,424.19 and 892,180.88

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Solution

The third proportional to 560,424.19 and 892,180.88 is: 1,420,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,424.19 : 892,180.88 = 892,180.88 : x
  2. Step 2: Convert to fraction form
    560,424.19/892,180.88 = 892,180.88/x
  3. Step 3: Cross multiply
    560,424.19x = 892,180.88 × 892,180.88
  4. Step 4: Simplify right side
    560,424.19x = 795,986,713,715.77
  5. Step 5: Solve for x
    x = 795,986,713,715.77/560,424.19
  6. Step 6: Final answer
    x = 1,420,328.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.