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Finding the Third Proportional to 227,319 and 478,209

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Solution

The third proportional to 227,319 and 478,209 is: 1,006,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,319 : 478,209 = 478,209 : x
  2. Step 2: Convert to fraction form
    227,319/478,209 = 478,209/x
  3. Step 3: Cross multiply
    227,319x = 478,209 × 478,209
  4. Step 4: Simplify right side
    227,319x = 228,683,847,681
  5. Step 5: Solve for x
    x = 228,683,847,681/227,319
  6. Step 6: Final answer
    x = 1,006,004.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.