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Finding the Third Proportional to 5,421,660 and 11,402,442

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Solution

The third proportional to 5,421,660 and 11,402,442 is: 23,980,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,660 : 11,402,442 = 11,402,442 : x
  2. Step 2: Convert to fraction form
    5,421,660/11,402,442 = 11,402,442/x
  3. Step 3: Cross multiply
    5,421,660x = 11,402,442 × 11,402,442
  4. Step 4: Simplify right side
    5,421,660x = 130,015,683,563,364
  5. Step 5: Solve for x
    x = 130,015,683,563,364/5,421,660
  6. Step 6: Final answer
    x = 23,980,788.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.