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Finding the Third Proportional to 399,757 and 607,821

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Solution

The third proportional to 399,757 and 607,821 is: 924,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,757 : 607,821 = 607,821 : x
  2. Step 2: Convert to fraction form
    399,757/607,821 = 607,821/x
  3. Step 3: Cross multiply
    399,757x = 607,821 × 607,821
  4. Step 4: Simplify right side
    399,757x = 369,446,368,041
  5. Step 5: Solve for x
    x = 369,446,368,041/399,757
  6. Step 6: Final answer
    x = 924,177.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.