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Finding the Third Proportional to 79,528 and 171,516

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Solution

The third proportional to 79,528 and 171,516 is: 369,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,528 : 171,516 = 171,516 : x
  2. Step 2: Convert to fraction form
    79,528/171,516 = 171,516/x
  3. Step 3: Cross multiply
    79,528x = 171,516 × 171,516
  4. Step 4: Simplify right side
    79,528x = 29,417,738,256
  5. Step 5: Solve for x
    x = 29,417,738,256/79,528
  6. Step 6: Final answer
    x = 369,904.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.