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Finding the Third Proportional to 707.21 and 1,039.16

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Solution

The third proportional to 707.21 and 1,039.16 is: 1,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.21 : 1,039.16 = 1,039.16 : x
  2. Step 2: Convert to fraction form
    707.21/1,039.16 = 1,039.16/x
  3. Step 3: Cross multiply
    707.21x = 1,039.16 × 1,039.16
  4. Step 4: Simplify right side
    707.21x = 1,079,847.74
  5. Step 5: Solve for x
    x = 1,079,847.74/707.21
  6. Step 6: Final answer
    x = 1,526.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.