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Finding the Third Proportional to 713,588 and 978,511

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Solution

The third proportional to 713,588 and 978,511 is: 1,341,787.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,588 : 978,511 = 978,511 : x
  2. Step 2: Convert to fraction form
    713,588/978,511 = 978,511/x
  3. Step 3: Cross multiply
    713,588x = 978,511 × 978,511
  4. Step 4: Simplify right side
    713,588x = 957,483,777,121
  5. Step 5: Solve for x
    x = 957,483,777,121/713,588
  6. Step 6: Final answer
    x = 1,341,787.95

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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.