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Finding the Third Proportional to 652.13 and 978.47

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Solution

The third proportional to 652.13 and 978.47 is: 1,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.13 : 978.47 = 978.47 : x
  2. Step 2: Convert to fraction form
    652.13/978.47 = 978.47/x
  3. Step 3: Cross multiply
    652.13x = 978.47 × 978.47
  4. Step 4: Simplify right side
    652.13x = 957,401.09
  5. Step 5: Solve for x
    x = 957,401.09/652.13
  6. Step 6: Final answer
    x = 1,468.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.