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Finding the Third Proportional to 560,578 and 840,045

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Solution

The third proportional to 560,578 and 840,045 is: 1,258,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,578 : 840,045 = 840,045 : x
  2. Step 2: Convert to fraction form
    560,578/840,045 = 840,045/x
  3. Step 3: Cross multiply
    560,578x = 840,045 × 840,045
  4. Step 4: Simplify right side
    560,578x = 705,675,602,025
  5. Step 5: Solve for x
    x = 705,675,602,025/560,578
  6. Step 6: Final answer
    x = 1,258,835.71

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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.