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Finding the Third Proportional to 30,499,866 and 67,140,828

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Solution

The third proportional to 30,499,866 and 67,140,828 is: 147,800,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499,866 : 67,140,828 = 67,140,828 : x
  2. Step 2: Convert to fraction form
    30,499,866/67,140,828 = 67,140,828/x
  3. Step 3: Cross multiply
    30,499,866x = 67,140,828 × 67,140,828
  4. Step 4: Simplify right side
    30,499,866x = 4,507,890,784,525,584
  5. Step 5: Solve for x
    x = 4,507,890,784,525,584/30,499,866
  6. Step 6: Final answer
    x = 147,800,347.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.