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Finding the Third Proportional to 990,144 and 1,487,403

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Solution

The third proportional to 990,144 and 1,487,403 is: 2,234,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,144 : 1,487,403 = 1,487,403 : x
  2. Step 2: Convert to fraction form
    990,144/1,487,403 = 1,487,403/x
  3. Step 3: Cross multiply
    990,144x = 1,487,403 × 1,487,403
  4. Step 4: Simplify right side
    990,144x = 2,212,367,684,409
  5. Step 5: Solve for x
    x = 2,212,367,684,409/990,144
  6. Step 6: Final answer
    x = 2,234,389.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.