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Finding the Third Proportional to 2,137,149 and 4,615,287.75

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Solution

The third proportional to 2,137,149 and 4,615,287.75 is: 9,966,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,149 : 4,615,287.75 = 4,615,287.75 : x
  2. Step 2: Convert to fraction form
    2,137,149/4,615,287.75 = 4,615,287.75/x
  3. Step 3: Cross multiply
    2,137,149x = 4,615,287.75 × 4,615,287.75
  4. Step 4: Simplify right side
    2,137,149x = 21,300,881,015,300.06
  5. Step 5: Solve for x
    x = 21,300,881,015,300.06/2,137,149
  6. Step 6: Final answer
    x = 9,966,961.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.