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Finding the Third Proportional to 397,080 and 849,564

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Solution

The third proportional to 397,080 and 849,564 is: 1,817,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,080 : 849,564 = 849,564 : x
  2. Step 2: Convert to fraction form
    397,080/849,564 = 849,564/x
  3. Step 3: Cross multiply
    397,080x = 849,564 × 849,564
  4. Step 4: Simplify right side
    397,080x = 721,758,990,096
  5. Step 5: Solve for x
    x = 721,758,990,096/397,080
  6. Step 6: Final answer
    x = 1,817,666.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.