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Finding the Third Proportional to 195,428 and 428,264

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Solution

The third proportional to 195,428 and 428,264 is: 938,504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,428 : 428,264 = 428,264 : x
  2. Step 2: Convert to fraction form
    195,428/428,264 = 428,264/x
  3. Step 3: Cross multiply
    195,428x = 428,264 × 428,264
  4. Step 4: Simplify right side
    195,428x = 183,410,053,696
  5. Step 5: Solve for x
    x = 183,410,053,696/195,428
  6. Step 6: Final answer
    x = 938,504.48

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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.