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Finding the Third Proportional to 10,661,824 and 15,195,240

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Solution

The third proportional to 10,661,824 and 15,195,240 is: 21,656,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661,824 : 15,195,240 = 15,195,240 : x
  2. Step 2: Convert to fraction form
    10,661,824/15,195,240 = 15,195,240/x
  3. Step 3: Cross multiply
    10,661,824x = 15,195,240 × 15,195,240
  4. Step 4: Simplify right side
    10,661,824x = 230,895,318,657,600
  5. Step 5: Solve for x
    x = 230,895,318,657,600/10,661,824
  6. Step 6: Final answer
    x = 21,656,268.07

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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.