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Finding the Third Proportional to 161,742 and 249,309

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Solution

The third proportional to 161,742 and 249,309 is: 384,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,742 : 249,309 = 249,309 : x
  2. Step 2: Convert to fraction form
    161,742/249,309 = 249,309/x
  3. Step 3: Cross multiply
    161,742x = 249,309 × 249,309
  4. Step 4: Simplify right side
    161,742x = 62,154,977,481
  5. Step 5: Solve for x
    x = 62,154,977,481/161,742
  6. Step 6: Final answer
    x = 384,284.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.