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Finding the Third Proportional to 316,213 and 415,161

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Solution

The third proportional to 316,213 and 415,161 is: 545,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,213 : 415,161 = 415,161 : x
  2. Step 2: Convert to fraction form
    316,213/415,161 = 415,161/x
  3. Step 3: Cross multiply
    316,213x = 415,161 × 415,161
  4. Step 4: Simplify right side
    316,213x = 172,358,655,921
  5. Step 5: Solve for x
    x = 172,358,655,921/316,213
  6. Step 6: Final answer
    x = 545,071.38

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.