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Finding the Third Proportional to 45,132.19 and 70,196.63

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Solution

The third proportional to 45,132.19 and 70,196.63 is: 109,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,132.19 : 70,196.63 = 70,196.63 : x
  2. Step 2: Convert to fraction form
    45,132.19/70,196.63 = 70,196.63/x
  3. Step 3: Cross multiply
    45,132.19x = 70,196.63 × 70,196.63
  4. Step 4: Simplify right side
    45,132.19x = 4,927,566,161.39
  5. Step 5: Solve for x
    x = 4,927,566,161.39/45,132.19
  6. Step 6: Final answer
    x = 109,180.75

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.