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Finding the Third Proportional to 30,279,870 and 65,670,760.50

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Solution

The third proportional to 30,279,870 and 65,670,760.50 is: 142,426,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,279,870 : 65,670,760.50 = 65,670,760.50 : x
  2. Step 2: Convert to fraction form
    30,279,870/65,670,760.50 = 65,670,760.50/x
  3. Step 3: Cross multiply
    30,279,870x = 65,670,760.50 × 65,670,760.50
  4. Step 4: Simplify right side
    30,279,870x = 4,312,648,784,648,360
  5. Step 5: Solve for x
    x = 4,312,648,784,648,360/30,279,870
  6. Step 6: Final answer
    x = 142,426,264.86

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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.