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Finding the Third Proportional to 314,932 and 478,230

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Solution

The third proportional to 314,932 and 478,230 is: 726,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,932 : 478,230 = 478,230 : x
  2. Step 2: Convert to fraction form
    314,932/478,230 = 478,230/x
  3. Step 3: Cross multiply
    314,932x = 478,230 × 478,230
  4. Step 4: Simplify right side
    314,932x = 228,703,932,900
  5. Step 5: Solve for x
    x = 228,703,932,900/314,932
  6. Step 6: Final answer
    x = 726,201.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.