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Finding the Third Proportional to 163,479 and 249,971

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Solution

The third proportional to 163,479 and 249,971 is: 382,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,479 : 249,971 = 249,971 : x
  2. Step 2: Convert to fraction form
    163,479/249,971 = 249,971/x
  3. Step 3: Cross multiply
    163,479x = 249,971 × 249,971
  4. Step 4: Simplify right side
    163,479x = 62,485,500,841
  5. Step 5: Solve for x
    x = 62,485,500,841/163,479
  6. Step 6: Final answer
    x = 382,223.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.