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Finding the Third Proportional to 209,803 and 316,447

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Solution

The third proportional to 209,803 and 316,447 is: 477,298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803 : 316,447 = 316,447 : x
  2. Step 2: Convert to fraction form
    209,803/316,447 = 316,447/x
  3. Step 3: Cross multiply
    209,803x = 316,447 × 316,447
  4. Step 4: Simplify right side
    209,803x = 100,138,703,809
  5. Step 5: Solve for x
    x = 100,138,703,809/209,803
  6. Step 6: Final answer
    x = 477,298.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.