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Finding the Third Proportional to 132,705 and 205,501.50

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Solution

The third proportional to 132,705 and 205,501.50 is: 318,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,705 : 205,501.50 = 205,501.50 : x
  2. Step 2: Convert to fraction form
    132,705/205,501.50 = 205,501.50/x
  3. Step 3: Cross multiply
    132,705x = 205,501.50 × 205,501.50
  4. Step 4: Simplify right side
    132,705x = 42,230,866,502.25
  5. Step 5: Solve for x
    x = 42,230,866,502.25/132,705
  6. Step 6: Final answer
    x = 318,231.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.