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Finding the Third Proportional to 9,969,920 and 21,689,440

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Solution

The third proportional to 9,969,920 and 21,689,440 is: 47,185,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969,920 : 21,689,440 = 21,689,440 : x
  2. Step 2: Convert to fraction form
    9,969,920/21,689,440 = 21,689,440/x
  3. Step 3: Cross multiply
    9,969,920x = 21,689,440 × 21,689,440
  4. Step 4: Simplify right side
    9,969,920x = 470,431,807,513,600
  5. Step 5: Solve for x
    x = 470,431,807,513,600/9,969,920
  6. Step 6: Final answer
    x = 47,185,113.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.