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Finding the Third Proportional to 223,408 and 478,348

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Solution

The third proportional to 223,408 and 478,348 is: 1,024,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,408 : 478,348 = 478,348 : x
  2. Step 2: Convert to fraction form
    223,408/478,348 = 478,348/x
  3. Step 3: Cross multiply
    223,408x = 478,348 × 478,348
  4. Step 4: Simplify right side
    223,408x = 228,816,809,104
  5. Step 5: Solve for x
    x = 228,816,809,104/223,408
  6. Step 6: Final answer
    x = 1,024,210.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.