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Finding the Third Proportional to 560,549.25 and 870,356.25

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Solution

The third proportional to 560,549.25 and 870,356.25 is: 1,351,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,549.25 : 870,356.25 = 870,356.25 : x
  2. Step 2: Convert to fraction form
    560,549.25/870,356.25 = 870,356.25/x
  3. Step 3: Cross multiply
    560,549.25x = 870,356.25 × 870,356.25
  4. Step 4: Simplify right side
    560,549.25x = 757,520,001,914.06
  5. Step 5: Solve for x
    x = 757,520,001,914.06/560,549.25
  6. Step 6: Final answer
    x = 1,351,388.84

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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.