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Finding the Third Proportional to 249,330 and 513,363

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Solution

The third proportional to 249,330 and 513,363 is: 1,056,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,330 : 513,363 = 513,363 : x
  2. Step 2: Convert to fraction form
    249,330/513,363 = 513,363/x
  3. Step 3: Cross multiply
    249,330x = 513,363 × 513,363
  4. Step 4: Simplify right side
    249,330x = 263,541,569,769
  5. Step 5: Solve for x
    x = 263,541,569,769/249,330
  6. Step 6: Final answer
    x = 1,056,999.04

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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.