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Finding the Third Proportional to 399,010 and 602,655

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Solution

The third proportional to 399,010 and 602,655 is: 910,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,010 : 602,655 = 602,655 : x
  2. Step 2: Convert to fraction form
    399,010/602,655 = 602,655/x
  3. Step 3: Cross multiply
    399,010x = 602,655 × 602,655
  4. Step 4: Simplify right side
    399,010x = 363,193,049,025
  5. Step 5: Solve for x
    x = 363,193,049,025/399,010
  6. Step 6: Final answer
    x = 910,235.46

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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.