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Finding the Third Proportional to 77,280 and 172,056

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Solution

The third proportional to 77,280 and 172,056 is: 383,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280 : 172,056 = 172,056 : x
  2. Step 2: Convert to fraction form
    77,280/172,056 = 172,056/x
  3. Step 3: Cross multiply
    77,280x = 172,056 × 172,056
  4. Step 4: Simplify right side
    77,280x = 29,603,267,136
  5. Step 5: Solve for x
    x = 29,603,267,136/77,280
  6. Step 6: Final answer
    x = 383,065.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.