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Finding the Third Proportional to 309,597 and 472,403

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Solution

The third proportional to 309,597 and 472,403 is: 720,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597 : 472,403 = 472,403 : x
  2. Step 2: Convert to fraction form
    309,597/472,403 = 472,403/x
  3. Step 3: Cross multiply
    309,597x = 472,403 × 472,403
  4. Step 4: Simplify right side
    309,597x = 223,164,594,409
  5. Step 5: Solve for x
    x = 223,164,594,409/309,597
  6. Step 6: Final answer
    x = 720,822.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.