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Finding the Third Proportional to 30,261,872 and 65,667,784

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Solution

The third proportional to 30,261,872 and 65,667,784 is: 142,498,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261,872 : 65,667,784 = 65,667,784 : x
  2. Step 2: Convert to fraction form
    30,261,872/65,667,784 = 65,667,784/x
  3. Step 3: Cross multiply
    30,261,872x = 65,667,784 × 65,667,784
  4. Step 4: Simplify right side
    30,261,872x = 4,312,257,855,470,656
  5. Step 5: Solve for x
    x = 4,312,257,855,470,656/30,261,872
  6. Step 6: Final answer
    x = 142,498,053.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.