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Finding the Third Proportional to 208,587 and 323,128

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Solution

The third proportional to 208,587 and 323,128 is: 500,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,587 : 323,128 = 323,128 : x
  2. Step 2: Convert to fraction form
    208,587/323,128 = 323,128/x
  3. Step 3: Cross multiply
    208,587x = 323,128 × 323,128
  4. Step 4: Simplify right side
    208,587x = 104,411,704,384
  5. Step 5: Solve for x
    x = 104,411,704,384/208,587
  6. Step 6: Final answer
    x = 500,566.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.