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Finding the Third Proportional to 30,430 and 40,703

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Solution

The third proportional to 30,430 and 40,703 is: 54,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430 : 40,703 = 40,703 : x
  2. Step 2: Convert to fraction form
    30,430/40,703 = 40,703/x
  3. Step 3: Cross multiply
    30,430x = 40,703 × 40,703
  4. Step 4: Simplify right side
    30,430x = 1,656,734,209
  5. Step 5: Solve for x
    x = 1,656,734,209/30,430
  6. Step 6: Final answer
    x = 54,444.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.