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Finding the Third Proportional to 713,491 and 978,376

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Solution

The third proportional to 713,491 and 978,376 is: 1,341,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,491 : 978,376 = 978,376 : x
  2. Step 2: Convert to fraction form
    713,491/978,376 = 978,376/x
  3. Step 3: Cross multiply
    713,491x = 978,376 × 978,376
  4. Step 4: Simplify right side
    713,491x = 957,219,597,376
  5. Step 5: Solve for x
    x = 957,219,597,376/713,491
  6. Step 6: Final answer
    x = 1,341,600.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.