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Finding the Third Proportional to 205,703 and 310,748

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Solution

The third proportional to 205,703 and 310,748 is: 469,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,703 : 310,748 = 310,748 : x
  2. Step 2: Convert to fraction form
    205,703/310,748 = 310,748/x
  3. Step 3: Cross multiply
    205,703x = 310,748 × 310,748
  4. Step 4: Simplify right side
    205,703x = 96,564,319,504
  5. Step 5: Solve for x
    x = 96,564,319,504/205,703
  6. Step 6: Final answer
    x = 469,435.64

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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.