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Finding the Third Proportional to 916.45 and 1,419.89

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Solution

The third proportional to 916.45 and 1,419.89 is: 2,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.45 : 1,419.89 = 1,419.89 : x
  2. Step 2: Convert to fraction form
    916.45/1,419.89 = 1,419.89/x
  3. Step 3: Cross multiply
    916.45x = 1,419.89 × 1,419.89
  4. Step 4: Simplify right side
    916.45x = 2,016,089.39
  5. Step 5: Solve for x
    x = 2,016,089.39/916.45
  6. Step 6: Final answer
    x = 2,199.88

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Why These Related Problems?

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