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Finding the Third Proportional to 397,362 and 868,488

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Solution

The third proportional to 397,362 and 868,488 is: 1,898,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,362 : 868,488 = 868,488 : x
  2. Step 2: Convert to fraction form
    397,362/868,488 = 868,488/x
  3. Step 3: Cross multiply
    397,362x = 868,488 × 868,488
  4. Step 4: Simplify right side
    397,362x = 754,271,406,144
  5. Step 5: Solve for x
    x = 754,271,406,144/397,362
  6. Step 6: Final answer
    x = 1,898,197.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.