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Finding the Third Proportional to 31,445 and 47,572

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Solution

The third proportional to 31,445 and 47,572 is: 71,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445 : 47,572 = 47,572 : x
  2. Step 2: Convert to fraction form
    31,445/47,572 = 47,572/x
  3. Step 3: Cross multiply
    31,445x = 47,572 × 47,572
  4. Step 4: Simplify right side
    31,445x = 2,263,095,184
  5. Step 5: Solve for x
    x = 2,263,095,184/31,445
  6. Step 6: Final answer
    x = 71,969.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.