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Finding the Third Proportional to 116,422 and 254,639

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Solution

The third proportional to 116,422 and 254,639 is: 556,948.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,422 : 254,639 = 254,639 : x
  2. Step 2: Convert to fraction form
    116,422/254,639 = 254,639/x
  3. Step 3: Cross multiply
    116,422x = 254,639 × 254,639
  4. Step 4: Simplify right side
    116,422x = 64,841,020,321
  5. Step 5: Solve for x
    x = 64,841,020,321/116,422
  6. Step 6: Final answer
    x = 556,948.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.