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Finding the Third Proportional to 390,471 and 603,403

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Solution

The third proportional to 390,471 and 603,403 is: 932,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,471 : 603,403 = 603,403 : x
  2. Step 2: Convert to fraction form
    390,471/603,403 = 603,403/x
  3. Step 3: Cross multiply
    390,471x = 603,403 × 603,403
  4. Step 4: Simplify right side
    390,471x = 364,095,180,409
  5. Step 5: Solve for x
    x = 364,095,180,409/390,471
  6. Step 6: Final answer
    x = 932,451.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.