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Finding the Third Proportional to 66,376 and 139,556

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Solution

The third proportional to 66,376 and 139,556 is: 293,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,376 : 139,556 = 139,556 : x
  2. Step 2: Convert to fraction form
    66,376/139,556 = 139,556/x
  3. Step 3: Cross multiply
    66,376x = 139,556 × 139,556
  4. Step 4: Simplify right side
    66,376x = 19,475,877,136
  5. Step 5: Solve for x
    x = 19,475,877,136/66,376
  6. Step 6: Final answer
    x = 293,417.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.