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Finding the Third Proportional to 249,688 and 391,267

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Solution

The third proportional to 249,688 and 391,267 is: 613,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,688 : 391,267 = 391,267 : x
  2. Step 2: Convert to fraction form
    249,688/391,267 = 391,267/x
  3. Step 3: Cross multiply
    249,688x = 391,267 × 391,267
  4. Step 4: Simplify right side
    249,688x = 153,089,865,289
  5. Step 5: Solve for x
    x = 153,089,865,289/249,688
  6. Step 6: Final answer
    x = 613,124.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.