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Finding the Third Proportional to 560,574 and 840,039

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Solution

The third proportional to 560,574 and 840,039 is: 1,258,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,574 : 840,039 = 840,039 : x
  2. Step 2: Convert to fraction form
    560,574/840,039 = 840,039/x
  3. Step 3: Cross multiply
    560,574x = 840,039 × 840,039
  4. Step 4: Simplify right side
    560,574x = 705,665,521,521
  5. Step 5: Solve for x
    x = 705,665,521,521/560,574
  6. Step 6: Final answer
    x = 1,258,826.71

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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.