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Finding the Third Proportional to 560,543.75 and 870,351.50

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Solution

The third proportional to 560,543.75 and 870,351.50 is: 1,351,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,543.75 : 870,351.50 = 870,351.50 : x
  2. Step 2: Convert to fraction form
    560,543.75/870,351.50 = 870,351.50/x
  3. Step 3: Cross multiply
    560,543.75x = 870,351.50 × 870,351.50
  4. Step 4: Simplify right side
    560,543.75x = 757,511,733,552.25
  5. Step 5: Solve for x
    x = 757,511,733,552.25/560,543.75
  6. Step 6: Final answer
    x = 1,351,387.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.