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Finding the Third Proportional to 345,800 and 708,730

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Solution

The third proportional to 345,800 and 708,730 is: 1,452,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,800 : 708,730 = 708,730 : x
  2. Step 2: Convert to fraction form
    345,800/708,730 = 708,730/x
  3. Step 3: Cross multiply
    345,800x = 708,730 × 708,730
  4. Step 4: Simplify right side
    345,800x = 502,298,212,900
  5. Step 5: Solve for x
    x = 502,298,212,900/345,800
  6. Step 6: Final answer
    x = 1,452,568.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.