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Finding the Third Proportional to 30,431 and 45,391

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Solution

The third proportional to 30,431 and 45,391 is: 67,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431 : 45,391 = 45,391 : x
  2. Step 2: Convert to fraction form
    30,431/45,391 = 45,391/x
  3. Step 3: Cross multiply
    30,431x = 45,391 × 45,391
  4. Step 4: Simplify right side
    30,431x = 2,060,342,881
  5. Step 5: Solve for x
    x = 2,060,342,881/30,431
  6. Step 6: Final answer
    x = 67,705.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.