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Finding the Third Proportional to 713,458 and 978,331

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Solution

The third proportional to 713,458 and 978,331 is: 1,341,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,458 : 978,331 = 978,331 : x
  2. Step 2: Convert to fraction form
    713,458/978,331 = 978,331/x
  3. Step 3: Cross multiply
    713,458x = 978,331 × 978,331
  4. Step 4: Simplify right side
    713,458x = 957,131,545,561
  5. Step 5: Solve for x
    x = 957,131,545,561/713,458
  6. Step 6: Final answer
    x = 1,341,538.74

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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.