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Finding the Third Proportional to 82,773 and 131,530.50

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Solution

The third proportional to 82,773 and 131,530.50 is: 209,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,773 : 131,530.50 = 131,530.50 : x
  2. Step 2: Convert to fraction form
    82,773/131,530.50 = 131,530.50/x
  3. Step 3: Cross multiply
    82,773x = 131,530.50 × 131,530.50
  4. Step 4: Simplify right side
    82,773x = 17,300,272,430.25
  5. Step 5: Solve for x
    x = 17,300,272,430.25/82,773
  6. Step 6: Final answer
    x = 209,008.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.