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Finding the Third Proportional to 413,574 and 623,817

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Solution

The third proportional to 413,574 and 623,817 is: 940,938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,574 : 623,817 = 623,817 : x
  2. Step 2: Convert to fraction form
    413,574/623,817 = 623,817/x
  3. Step 3: Cross multiply
    413,574x = 623,817 × 623,817
  4. Step 4: Simplify right side
    413,574x = 389,147,649,489
  5. Step 5: Solve for x
    x = 389,147,649,489/413,574
  6. Step 6: Final answer
    x = 940,938.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.