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Finding the Third Proportional to 208,068 and 314,289

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Solution

The third proportional to 208,068 and 314,289 is: 474,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,068 : 314,289 = 314,289 : x
  2. Step 2: Convert to fraction form
    208,068/314,289 = 314,289/x
  3. Step 3: Cross multiply
    208,068x = 314,289 × 314,289
  4. Step 4: Simplify right side
    208,068x = 98,777,575,521
  5. Step 5: Solve for x
    x = 98,777,575,521/208,068
  6. Step 6: Final answer
    x = 474,736.99

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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.