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Finding the Third Proportional to 403,724 and 849,270

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Solution

The third proportional to 403,724 and 849,270 is: 1,786,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,724 : 849,270 = 849,270 : x
  2. Step 2: Convert to fraction form
    403,724/849,270 = 849,270/x
  3. Step 3: Cross multiply
    403,724x = 849,270 × 849,270
  4. Step 4: Simplify right side
    403,724x = 721,259,532,900
  5. Step 5: Solve for x
    x = 721,259,532,900/403,724
  6. Step 6: Final answer
    x = 1,786,516.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.