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Finding the Third Proportional to 2,378,989 and 3,391,335

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Solution

The third proportional to 2,378,989 and 3,391,335 is: 4,834,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378,989 : 3,391,335 = 3,391,335 : x
  2. Step 2: Convert to fraction form
    2,378,989/3,391,335 = 3,391,335/x
  3. Step 3: Cross multiply
    2,378,989x = 3,391,335 × 3,391,335
  4. Step 4: Simplify right side
    2,378,989x = 11,501,153,082,225
  5. Step 5: Solve for x
    x = 11,501,153,082,225/2,378,989
  6. Step 6: Final answer
    x = 4,834,470.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.