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Finding the Third Proportional to 629.51 and 972.70

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Solution

The third proportional to 629.51 and 972.70 is: 1,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.51 : 972.70 = 972.70 : x
  2. Step 2: Convert to fraction form
    629.51/972.70 = 972.70/x
  3. Step 3: Cross multiply
    629.51x = 972.70 × 972.70
  4. Step 4: Simplify right side
    629.51x = 946,151.37
  5. Step 5: Solve for x
    x = 946,151.37/629.51
  6. Step 6: Final answer
    x = 1,503.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.