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Finding the Third Proportional to 223,416 and 478,813

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Solution

The third proportional to 223,416 and 478,813 is: 1,026,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,416 : 478,813 = 478,813 : x
  2. Step 2: Convert to fraction form
    223,416/478,813 = 478,813/x
  3. Step 3: Cross multiply
    223,416x = 478,813 × 478,813
  4. Step 4: Simplify right side
    223,416x = 229,261,888,969
  5. Step 5: Solve for x
    x = 229,261,888,969/223,416
  6. Step 6: Final answer
    x = 1,026,165.94

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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.