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Finding the Third Proportional to 916.95 and 1,395.35

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Solution

The third proportional to 916.95 and 1,395.35 is: 2,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.95 : 1,395.35 = 1,395.35 : x
  2. Step 2: Convert to fraction form
    916.95/1,395.35 = 1,395.35/x
  3. Step 3: Cross multiply
    916.95x = 1,395.35 × 1,395.35
  4. Step 4: Simplify right side
    916.95x = 1,947,005.98
  5. Step 5: Solve for x
    x = 1,947,005.98/916.95
  6. Step 6: Final answer
    x = 2,123.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.