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Finding the Third Proportional to 249,327 and 513,357

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Solution

The third proportional to 249,327 and 513,357 is: 1,056,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,327 : 513,357 = 513,357 : x
  2. Step 2: Convert to fraction form
    249,327/513,357 = 513,357/x
  3. Step 3: Cross multiply
    249,327x = 513,357 × 513,357
  4. Step 4: Simplify right side
    249,327x = 263,535,409,449
  5. Step 5: Solve for x
    x = 263,535,409,449/249,327
  6. Step 6: Final answer
    x = 1,056,987.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.