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Finding the Third Proportional to 249,328 and 513,359

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Solution

The third proportional to 249,328 and 513,359 is: 1,056,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,328 : 513,359 = 513,359 : x
  2. Step 2: Convert to fraction form
    249,328/513,359 = 513,359/x
  3. Step 3: Cross multiply
    249,328x = 513,359 × 513,359
  4. Step 4: Simplify right side
    249,328x = 263,537,462,881
  5. Step 5: Solve for x
    x = 263,537,462,881/249,328
  6. Step 6: Final answer
    x = 1,056,991.04

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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.