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Finding the Third Proportional to 205,128 and 310,429

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Solution

The third proportional to 205,128 and 310,429 is: 469,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,128 : 310,429 = 310,429 : x
  2. Step 2: Convert to fraction form
    205,128/310,429 = 310,429/x
  3. Step 3: Cross multiply
    205,128x = 310,429 × 310,429
  4. Step 4: Simplify right side
    205,128x = 96,366,164,041
  5. Step 5: Solve for x
    x = 96,366,164,041/205,128
  6. Step 6: Final answer
    x = 469,785.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.