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Finding the Third Proportional to 14,310 and 31,470

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Solution

The third proportional to 14,310 and 31,470 is: 69,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 31,470 = 31,470 : x
  2. Step 2: Convert to fraction form
    14,310/31,470 = 31,470/x
  3. Step 3: Cross multiply
    14,310x = 31,470 × 31,470
  4. Step 4: Simplify right side
    14,310x = 990,360,900
  5. Step 5: Solve for x
    x = 990,360,900/14,310
  6. Step 6: Final answer
    x = 69,207.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.