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Finding the Third Proportional to 208,874 and 312,528

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Solution

The third proportional to 208,874 and 312,528 is: 467,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,874 : 312,528 = 312,528 : x
  2. Step 2: Convert to fraction form
    208,874/312,528 = 312,528/x
  3. Step 3: Cross multiply
    208,874x = 312,528 × 312,528
  4. Step 4: Simplify right side
    208,874x = 97,673,750,784
  5. Step 5: Solve for x
    x = 97,673,750,784/208,874
  6. Step 6: Final answer
    x = 467,620.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.