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Finding the Third Proportional to 42,776 and 64,056

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Solution

The third proportional to 42,776 and 64,056 is: 95,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776 : 64,056 = 64,056 : x
  2. Step 2: Convert to fraction form
    42,776/64,056 = 64,056/x
  3. Step 3: Cross multiply
    42,776x = 64,056 × 64,056
  4. Step 4: Simplify right side
    42,776x = 4,103,171,136
  5. Step 5: Solve for x
    x = 4,103,171,136/42,776
  6. Step 6: Final answer
    x = 95,922.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.