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Finding the Third Proportional to 207,610,814 and 291,990,720

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Solution

The third proportional to 207,610,814 and 291,990,720 is: 410,665,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,610,814 : 291,990,720 = 291,990,720 : x
  2. Step 2: Convert to fraction form
    207,610,814/291,990,720 = 291,990,720/x
  3. Step 3: Cross multiply
    207,610,814x = 291,990,720 × 291,990,720
  4. Step 4: Simplify right side
    207,610,814x = 85,258,580,566,118,400
  5. Step 5: Solve for x
    x = 85,258,580,566,118,400/207,610,814
  6. Step 6: Final answer
    x = 410,665,412.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.