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Finding the Third Proportional to 205,706 and 310,750

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Solution

The third proportional to 205,706 and 310,750 is: 469,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706 : 310,750 = 310,750 : x
  2. Step 2: Convert to fraction form
    205,706/310,750 = 310,750/x
  3. Step 3: Cross multiply
    205,706x = 310,750 × 310,750
  4. Step 4: Simplify right side
    205,706x = 96,565,562,500
  5. Step 5: Solve for x
    x = 96,565,562,500/205,706
  6. Step 6: Final answer
    x = 469,434.84

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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.