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Finding the Third Proportional to 345,830 and 708,736

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Solution

The third proportional to 345,830 and 708,736 is: 1,452,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,830 : 708,736 = 708,736 : x
  2. Step 2: Convert to fraction form
    345,830/708,736 = 708,736/x
  3. Step 3: Cross multiply
    345,830x = 708,736 × 708,736
  4. Step 4: Simplify right side
    345,830x = 502,306,717,696
  5. Step 5: Solve for x
    x = 502,306,717,696/345,830
  6. Step 6: Final answer
    x = 1,452,467.16

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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.