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Finding the Third Proportional to 290,234,048 and 631,484,488

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Solution

The third proportional to 290,234,048 and 631,484,488 is: 1,373,969,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,234,048 : 631,484,488 = 631,484,488 : x
  2. Step 2: Convert to fraction form
    290,234,048/631,484,488 = 631,484,488/x
  3. Step 3: Cross multiply
    290,234,048x = 631,484,488 × 631,484,488
  4. Step 4: Simplify right side
    290,234,048x = 398,772,658,584,622,144
  5. Step 5: Solve for x
    x = 398,772,658,584,622,144/290,234,048
  6. Step 6: Final answer
    x = 1,373,969,254.58

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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.