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Finding the Third Proportional to 51,436,722.50 and 78,360,963

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Solution

The third proportional to 51,436,722.50 and 78,360,963 is: 119,378,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,436,722.50 : 78,360,963 = 78,360,963 : x
  2. Step 2: Convert to fraction form
    51,436,722.50/78,360,963 = 78,360,963/x
  3. Step 3: Cross multiply
    51,436,722.50x = 78,360,963 × 78,360,963
  4. Step 4: Simplify right side
    51,436,722.50x = 6,140,440,522,287,369
  5. Step 5: Solve for x
    x = 6,140,440,522,287,369/51,436,722.50
  6. Step 6: Final answer
    x = 119,378,533.93

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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.