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Finding the Third Proportional to 913.78 and 1,973.74

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Solution

The third proportional to 913.78 and 1,973.74 is: 4,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.78 : 1,973.74 = 1,973.74 : x
  2. Step 2: Convert to fraction form
    913.78/1,973.74 = 1,973.74/x
  3. Step 3: Cross multiply
    913.78x = 1,973.74 × 1,973.74
  4. Step 4: Simplify right side
    913.78x = 3,895,658.22
  5. Step 5: Solve for x
    x = 3,895,658.22/913.78
  6. Step 6: Final answer
    x = 4,263.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.