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Finding the Third Proportional to 51,149,109 and 78,000,304.50

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Solution

The third proportional to 51,149,109 and 78,000,304.50 is: 118,947,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,149,109 : 78,000,304.50 = 78,000,304.50 : x
  2. Step 2: Convert to fraction form
    51,149,109/78,000,304.50 = 78,000,304.50/x
  3. Step 3: Cross multiply
    51,149,109x = 78,000,304.50 × 78,000,304.50
  4. Step 4: Simplify right side
    51,149,109x = 6,084,047,502,092,720
  5. Step 5: Solve for x
    x = 6,084,047,502,092,720/51,149,109
  6. Step 6: Final answer
    x = 118,947,282.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.