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Finding the Third Proportional to 66,388 and 139,580

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Solution

The third proportional to 66,388 and 139,580 is: 293,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,388 : 139,580 = 139,580 : x
  2. Step 2: Convert to fraction form
    66,388/139,580 = 139,580/x
  3. Step 3: Cross multiply
    66,388x = 139,580 × 139,580
  4. Step 4: Simplify right side
    66,388x = 19,482,576,400
  5. Step 5: Solve for x
    x = 19,482,576,400/66,388
  6. Step 6: Final answer
    x = 293,465.33

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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.