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Finding the Third Proportional to 290,224,074 and 631,465,578

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Solution

The third proportional to 290,224,074 and 631,465,578 is: 1,373,934,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,224,074 : 631,465,578 = 631,465,578 : x
  2. Step 2: Convert to fraction form
    290,224,074/631,465,578 = 631,465,578/x
  3. Step 3: Cross multiply
    290,224,074x = 631,465,578 × 631,465,578
  4. Step 4: Simplify right side
    290,224,074x = 398,748,776,198,874,112
  5. Step 5: Solve for x
    x = 398,748,776,198,874,112/290,224,074
  6. Step 6: Final answer
    x = 1,373,934,183.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.