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Finding the Third Proportional to 208,136 and 442,184

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Solution

The third proportional to 208,136 and 442,184 is: 939,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,136 : 442,184 = 442,184 : x
  2. Step 2: Convert to fraction form
    208,136/442,184 = 442,184/x
  3. Step 3: Cross multiply
    208,136x = 442,184 × 442,184
  4. Step 4: Simplify right side
    208,136x = 195,526,689,856
  5. Step 5: Solve for x
    x = 195,526,689,856/208,136
  6. Step 6: Final answer
    x = 939,417.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.