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Finding the Third Proportional to 64,356 and 101,056

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Solution

The third proportional to 64,356 and 101,056 is: 158,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,356 : 101,056 = 101,056 : x
  2. Step 2: Convert to fraction form
    64,356/101,056 = 101,056/x
  3. Step 3: Cross multiply
    64,356x = 101,056 × 101,056
  4. Step 4: Simplify right side
    64,356x = 10,212,315,136
  5. Step 5: Solve for x
    x = 10,212,315,136/64,356
  6. Step 6: Final answer
    x = 158,684.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.