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Finding the Third Proportional to 136,320 and 206,929.50

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Solution

The third proportional to 136,320 and 206,929.50 is: 314,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,320 : 206,929.50 = 206,929.50 : x
  2. Step 2: Convert to fraction form
    136,320/206,929.50 = 206,929.50/x
  3. Step 3: Cross multiply
    136,320x = 206,929.50 × 206,929.50
  4. Step 4: Simplify right side
    136,320x = 42,819,817,970.25
  5. Step 5: Solve for x
    x = 42,819,817,970.25/136,320
  6. Step 6: Final answer
    x = 314,112.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.