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Finding the Third Proportional to 399,292 and 603,095

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Solution

The third proportional to 399,292 and 603,095 is: 910,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,292 : 603,095 = 603,095 : x
  2. Step 2: Convert to fraction form
    399,292/603,095 = 603,095/x
  3. Step 3: Cross multiply
    399,292x = 603,095 × 603,095
  4. Step 4: Simplify right side
    399,292x = 363,723,579,025
  5. Step 5: Solve for x
    x = 363,723,579,025/399,292
  6. Step 6: Final answer
    x = 910,921.28

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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.