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Finding the Third Proportional to 71,528 and 153,964

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Solution

The third proportional to 71,528 and 153,964 is: 331,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,528 : 153,964 = 153,964 : x
  2. Step 2: Convert to fraction form
    71,528/153,964 = 153,964/x
  3. Step 3: Cross multiply
    71,528x = 153,964 × 153,964
  4. Step 4: Simplify right side
    71,528x = 23,704,913,296
  5. Step 5: Solve for x
    x = 23,704,913,296/71,528
  6. Step 6: Final answer
    x = 331,407.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.