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Finding the Third Proportional to 208,818 and 316,143

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Solution

The third proportional to 208,818 and 316,143 is: 478,629.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,818 : 316,143 = 316,143 : x
  2. Step 2: Convert to fraction form
    208,818/316,143 = 316,143/x
  3. Step 3: Cross multiply
    208,818x = 316,143 × 316,143
  4. Step 4: Simplify right side
    208,818x = 99,946,396,449
  5. Step 5: Solve for x
    x = 99,946,396,449/208,818
  6. Step 6: Final answer
    x = 478,629.22

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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.