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Finding the Third Proportional to 710.90 and 1,478.57

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Solution

The third proportional to 710.90 and 1,478.57 is: 3,075.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.90 : 1,478.57 = 1,478.57 : x
  2. Step 2: Convert to fraction form
    710.90/1,478.57 = 1,478.57/x
  3. Step 3: Cross multiply
    710.90x = 1,478.57 × 1,478.57
  4. Step 4: Simplify right side
    710.90x = 2,186,162.27
  5. Step 5: Solve for x
    x = 2,186,162.27/710.90
  6. Step 6: Final answer
    x = 3,075.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.