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Finding the Third Proportional to 560,576 and 840,042

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Solution

The third proportional to 560,576 and 840,042 is: 1,258,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,576 : 840,042 = 840,042 : x
  2. Step 2: Convert to fraction form
    560,576/840,042 = 840,042/x
  3. Step 3: Cross multiply
    560,576x = 840,042 × 840,042
  4. Step 4: Simplify right side
    560,576x = 705,670,561,764
  5. Step 5: Solve for x
    x = 705,670,561,764/560,576
  6. Step 6: Final answer
    x = 1,258,831.21

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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.