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Finding the Third Proportional to 105,515 and 249,081

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Solution

The third proportional to 105,515 and 249,081 is: 587,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,515 : 249,081 = 249,081 : x
  2. Step 2: Convert to fraction form
    105,515/249,081 = 249,081/x
  3. Step 3: Cross multiply
    105,515x = 249,081 × 249,081
  4. Step 4: Simplify right side
    105,515x = 62,041,344,561
  5. Step 5: Solve for x
    x = 62,041,344,561/105,515
  6. Step 6: Final answer
    x = 587,986.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.