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Finding the Third Proportional to 291,785,340 and 631,990,968

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Solution

The third proportional to 291,785,340 and 631,990,968 is: 1,368,857,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,785,340 : 631,990,968 = 631,990,968 : x
  2. Step 2: Convert to fraction form
    291,785,340/631,990,968 = 631,990,968/x
  3. Step 3: Cross multiply
    291,785,340x = 631,990,968 × 631,990,968
  4. Step 4: Simplify right side
    291,785,340x = 399,412,583,633,577,024
  5. Step 5: Solve for x
    x = 399,412,583,633,577,024/291,785,340
  6. Step 6: Final answer
    x = 1,368,857,611.67

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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.