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Finding the Third Proportional to 221,470 and 341,986

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Solution

The third proportional to 221,470 and 341,986 is: 528,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,470 : 341,986 = 341,986 : x
  2. Step 2: Convert to fraction form
    221,470/341,986 = 341,986/x
  3. Step 3: Cross multiply
    221,470x = 341,986 × 341,986
  4. Step 4: Simplify right side
    221,470x = 116,954,424,196
  5. Step 5: Solve for x
    x = 116,954,424,196/221,470
  6. Step 6: Final answer
    x = 528,082.47

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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.