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Finding the Third Proportional to 240,142.50 and 560,990.25

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Solution

The third proportional to 240,142.50 and 560,990.25 is: 1,310,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,142.50 : 560,990.25 = 560,990.25 : x
  2. Step 2: Convert to fraction form
    240,142.50/560,990.25 = 560,990.25/x
  3. Step 3: Cross multiply
    240,142.50x = 560,990.25 × 560,990.25
  4. Step 4: Simplify right side
    240,142.50x = 314,710,060,595.06
  5. Step 5: Solve for x
    x = 314,710,060,595.06/240,142.50
  6. Step 6: Final answer
    x = 1,310,513.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.