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Finding the Third Proportional to 615.73 and 977.34

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Solution

The third proportional to 615.73 and 977.34 is: 1,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.73 : 977.34 = 977.34 : x
  2. Step 2: Convert to fraction form
    615.73/977.34 = 977.34/x
  3. Step 3: Cross multiply
    615.73x = 977.34 × 977.34
  4. Step 4: Simplify right side
    615.73x = 955,200.81
  5. Step 5: Solve for x
    x = 955,200.81/615.73
  6. Step 6: Final answer
    x = 1,551.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.