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Finding the Third Proportional to 943,312 and 1,442,520

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Solution

The third proportional to 943,312 and 1,442,520 is: 2,205,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,312 : 1,442,520 = 1,442,520 : x
  2. Step 2: Convert to fraction form
    943,312/1,442,520 = 1,442,520/x
  3. Step 3: Cross multiply
    943,312x = 1,442,520 × 1,442,520
  4. Step 4: Simplify right side
    943,312x = 2,080,863,950,400
  5. Step 5: Solve for x
    x = 2,080,863,950,400/943,312
  6. Step 6: Final answer
    x = 2,205,912.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.