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Finding the Third Proportional to 720.98 and 1,054.90

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Solution

The third proportional to 720.98 and 1,054.90 is: 1,543.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.98 : 1,054.90 = 1,054.90 : x
  2. Step 2: Convert to fraction form
    720.98/1,054.90 = 1,054.90/x
  3. Step 3: Cross multiply
    720.98x = 1,054.90 × 1,054.90
  4. Step 4: Simplify right side
    720.98x = 1,112,810.71
  5. Step 5: Solve for x
    x = 1,112,810.71/720.98
  6. Step 6: Final answer
    x = 1,543.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.