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Finding the Third Proportional to 342,396 and 824,862

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Solution

The third proportional to 342,396 and 824,862 is: 1,987,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,396 : 824,862 = 824,862 : x
  2. Step 2: Convert to fraction form
    342,396/824,862 = 824,862/x
  3. Step 3: Cross multiply
    342,396x = 824,862 × 824,862
  4. Step 4: Simplify right side
    342,396x = 680,397,319,044
  5. Step 5: Solve for x
    x = 680,397,319,044/342,396
  6. Step 6: Final answer
    x = 1,987,164.92

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.