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Finding the Third Proportional to 161,281 and 249,310

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Solution

The third proportional to 161,281 and 249,310 is: 385,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,281 : 249,310 = 249,310 : x
  2. Step 2: Convert to fraction form
    161,281/249,310 = 249,310/x
  3. Step 3: Cross multiply
    161,281x = 249,310 × 249,310
  4. Step 4: Simplify right side
    161,281x = 62,155,476,100
  5. Step 5: Solve for x
    x = 62,155,476,100/161,281
  6. Step 6: Final answer
    x = 385,386.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.