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Finding the Third Proportional to 745,420 and 993,138

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Solution

The third proportional to 745,420 and 993,138 is: 1,323,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,420 : 993,138 = 993,138 : x
  2. Step 2: Convert to fraction form
    745,420/993,138 = 993,138/x
  3. Step 3: Cross multiply
    745,420x = 993,138 × 993,138
  4. Step 4: Simplify right side
    745,420x = 986,323,087,044
  5. Step 5: Solve for x
    x = 986,323,087,044/745,420
  6. Step 6: Final answer
    x = 1,323,177.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.