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Finding the Third Proportional to 745,460 and 993,190

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Solution

The third proportional to 745,460 and 993,190 is: 1,323,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,460 : 993,190 = 993,190 : x
  2. Step 2: Convert to fraction form
    745,460/993,190 = 993,190/x
  3. Step 3: Cross multiply
    745,460x = 993,190 × 993,190
  4. Step 4: Simplify right side
    745,460x = 986,426,376,100
  5. Step 5: Solve for x
    x = 986,426,376,100/745,460
  6. Step 6: Final answer
    x = 1,323,245.21

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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.