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Finding the Third Proportional to 66,324 and 139,056

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Solution

The third proportional to 66,324 and 139,056 is: 291,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,324 : 139,056 = 139,056 : x
  2. Step 2: Convert to fraction form
    66,324/139,056 = 139,056/x
  3. Step 3: Cross multiply
    66,324x = 139,056 × 139,056
  4. Step 4: Simplify right side
    66,324x = 19,336,571,136
  5. Step 5: Solve for x
    x = 19,336,571,136/66,324
  6. Step 6: Final answer
    x = 291,547.12

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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.