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Finding the Third Proportional to 903.63 and 1,209.13

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Solution

The third proportional to 903.63 and 1,209.13 is: 1,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.63 : 1,209.13 = 1,209.13 : x
  2. Step 2: Convert to fraction form
    903.63/1,209.13 = 1,209.13/x
  3. Step 3: Cross multiply
    903.63x = 1,209.13 × 1,209.13
  4. Step 4: Simplify right side
    903.63x = 1,461,983.27
  5. Step 5: Solve for x
    x = 1,461,983.27/903.63
  6. Step 6: Final answer
    x = 1,617.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.