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Finding the Third Proportional to 520,257.25 and 1,139,931.88

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Solution

The third proportional to 520,257.25 and 1,139,931.88 is: 2,497,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,257.25 : 1,139,931.88 = 1,139,931.88 : x
  2. Step 2: Convert to fraction form
    520,257.25/1,139,931.88 = 1,139,931.88/x
  3. Step 3: Cross multiply
    520,257.25x = 1,139,931.88 × 1,139,931.88
  4. Step 4: Simplify right side
    520,257.25x = 1,299,444,679,641.02
  5. Step 5: Solve for x
    x = 1,299,444,679,641.02/520,257.25
  6. Step 6: Final answer
    x = 2,497,696.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.