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Finding the Third Proportional to 709.60 and 977.10

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Solution

The third proportional to 709.60 and 977.10 is: 1,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.60 : 977.10 = 977.10 : x
  2. Step 2: Convert to fraction form
    709.60/977.10 = 977.10/x
  3. Step 3: Cross multiply
    709.60x = 977.10 × 977.10
  4. Step 4: Simplify right side
    709.60x = 954,728.42
  5. Step 5: Solve for x
    x = 954,728.42/709.60
  6. Step 6: Final answer
    x = 1,345.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.