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Finding the Third Proportional to 916.95 and 1,987.66

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Solution

The third proportional to 916.95 and 1,987.66 is: 4,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.95 : 1,987.66 = 1,987.66 : x
  2. Step 2: Convert to fraction form
    916.95/1,987.66 = 1,987.66/x
  3. Step 3: Cross multiply
    916.95x = 1,987.66 × 1,987.66
  4. Step 4: Simplify right side
    916.95x = 3,950,808.43
  5. Step 5: Solve for x
    x = 3,950,808.43/916.95
  6. Step 6: Final answer
    x = 4,308.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.