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Finding the Third Proportional to 28,284.19 and 32,931.56

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Solution

The third proportional to 28,284.19 and 32,931.56 is: 38,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.19 : 32,931.56 = 32,931.56 : x
  2. Step 2: Convert to fraction form
    28,284.19/32,931.56 = 32,931.56/x
  3. Step 3: Cross multiply
    28,284.19x = 32,931.56 × 32,931.56
  4. Step 4: Simplify right side
    28,284.19x = 1,084,487,808.69
  5. Step 5: Solve for x
    x = 1,084,487,808.69/28,284.19
  6. Step 6: Final answer
    x = 38,342.55

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.