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Finding the Third Proportional to 340,723 and 716,738

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Solution

The third proportional to 340,723 and 716,738 is: 1,507,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,723 : 716,738 = 716,738 : x
  2. Step 2: Convert to fraction form
    340,723/716,738 = 716,738/x
  3. Step 3: Cross multiply
    340,723x = 716,738 × 716,738
  4. Step 4: Simplify right side
    340,723x = 513,713,360,644
  5. Step 5: Solve for x
    x = 513,713,360,644/340,723
  6. Step 6: Final answer
    x = 1,507,715.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.