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Finding the Third Proportional to 903.75 and 1,220.63

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Solution

The third proportional to 903.75 and 1,220.63 is: 1,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.75 : 1,220.63 = 1,220.63 : x
  2. Step 2: Convert to fraction form
    903.75/1,220.63 = 1,220.63/x
  3. Step 3: Cross multiply
    903.75x = 1,220.63 × 1,220.63
  4. Step 4: Simplify right side
    903.75x = 1,489,925.39
  5. Step 5: Solve for x
    x = 1,489,925.39/903.75
  6. Step 6: Final answer
    x = 1,648.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.