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Finding the Third Proportional to 720.91 and 1,557.63

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Solution

The third proportional to 720.91 and 1,557.63 is: 3,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.91 : 1,557.63 = 1,557.63 : x
  2. Step 2: Convert to fraction form
    720.91/1,557.63 = 1,557.63/x
  3. Step 3: Cross multiply
    720.91x = 1,557.63 × 1,557.63
  4. Step 4: Simplify right side
    720.91x = 2,426,219.98
  5. Step 5: Solve for x
    x = 2,426,219.98/720.91
  6. Step 6: Final answer
    x = 3,365.48

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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.