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Finding the Third Proportional to 31,430 and 48,604

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Solution

The third proportional to 31,430 and 48,604 is: 75,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430 : 48,604 = 48,604 : x
  2. Step 2: Convert to fraction form
    31,430/48,604 = 48,604/x
  3. Step 3: Cross multiply
    31,430x = 48,604 × 48,604
  4. Step 4: Simplify right side
    31,430x = 2,362,348,816
  5. Step 5: Solve for x
    x = 2,362,348,816/31,430
  6. Step 6: Final answer
    x = 75,162.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.