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Finding the Third Proportional to 1,861,782,915 and 2,776,529,209

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Solution

The third proportional to 1,861,782,915 and 2,776,529,209 is: 4,140,716,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,782,915 : 2,776,529,209 = 2,776,529,209 : x
  2. Step 2: Convert to fraction form
    1,861,782,915/2,776,529,209 = 2,776,529,209/x
  3. Step 3: Cross multiply
    1,861,782,915x = 2,776,529,209 × 2,776,529,209
  4. Step 4: Simplify right side
    1,861,782,915x = 7,709,114,448,430,166,016
  5. Step 5: Solve for x
    x = 7,709,114,448,430,166,016/1,861,782,915
  6. Step 6: Final answer
    x = 4,140,716,077.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.