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Finding the Third Proportional to 518,812.88 and 1,139,770.13

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Solution

The third proportional to 518,812.88 and 1,139,770.13 is: 2,503,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,812.88 : 1,139,770.13 = 1,139,770.13 : x
  2. Step 2: Convert to fraction form
    518,812.88/1,139,770.13 = 1,139,770.13/x
  3. Step 3: Cross multiply
    518,812.88x = 1,139,770.13 × 1,139,770.13
  4. Step 4: Simplify right side
    518,812.88x = 1,299,075,937,842.52
  5. Step 5: Solve for x
    x = 1,299,075,937,842.52/518,812.88
  6. Step 6: Final answer
    x = 2,503,939.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.