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Finding the Third Proportional to 30,261,870 and 65,667,780

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Solution

The third proportional to 30,261,870 and 65,667,780 is: 142,498,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,261,870 : 65,667,780 = 65,667,780 : x
  2. Step 2: Convert to fraction form
    30,261,870/65,667,780 = 65,667,780/x
  3. Step 3: Cross multiply
    30,261,870x = 65,667,780 × 65,667,780
  4. Step 4: Simplify right side
    30,261,870x = 4,312,257,330,128,400
  5. Step 5: Solve for x
    x = 4,312,257,330,128,400/30,261,870
  6. Step 6: Final answer
    x = 142,498,045.56

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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.