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Finding the Third Proportional to 249,510 and 539,988

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Solution

The third proportional to 249,510 and 539,988 is: 1,168,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,510 : 539,988 = 539,988 : x
  2. Step 2: Convert to fraction form
    249,510/539,988 = 539,988/x
  3. Step 3: Cross multiply
    249,510x = 539,988 × 539,988
  4. Step 4: Simplify right side
    249,510x = 291,587,040,144
  5. Step 5: Solve for x
    x = 291,587,040,144/249,510
  6. Step 6: Final answer
    x = 1,168,638.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.