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Finding the Third Proportional to 713,421 and 978,277

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Solution

The third proportional to 713,421 and 978,277 is: 1,341,460.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,421 : 978,277 = 978,277 : x
  2. Step 2: Convert to fraction form
    713,421/978,277 = 978,277/x
  3. Step 3: Cross multiply
    713,421x = 978,277 × 978,277
  4. Step 4: Simplify right side
    713,421x = 957,025,888,729
  5. Step 5: Solve for x
    x = 957,025,888,729/713,421
  6. Step 6: Final answer
    x = 1,341,460.22

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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.