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Finding the Third Proportional to 290,240,064 and 631,496,256

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Solution

The third proportional to 290,240,064 and 631,496,256 is: 1,373,991,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,240,064 : 631,496,256 = 631,496,256 : x
  2. Step 2: Convert to fraction form
    290,240,064/631,496,256 = 631,496,256/x
  3. Step 3: Cross multiply
    290,240,064x = 631,496,256 × 631,496,256
  4. Step 4: Simplify right side
    290,240,064x = 398,787,521,342,017,536
  5. Step 5: Solve for x
    x = 398,787,521,342,017,536/290,240,064
  6. Step 6: Final answer
    x = 1,373,991,983.90

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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.