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Finding the Third Proportional to 121,802,474 and 287,441,462

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Solution

The third proportional to 121,802,474 and 287,441,462 is: 678,332,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,802,474 : 287,441,462 = 287,441,462 : x
  2. Step 2: Convert to fraction form
    121,802,474/287,441,462 = 287,441,462/x
  3. Step 3: Cross multiply
    121,802,474x = 287,441,462 × 287,441,462
  4. Step 4: Simplify right side
    121,802,474x = 82,622,594,076,697,440
  5. Step 5: Solve for x
    x = 82,622,594,076,697,440/121,802,474
  6. Step 6: Final answer
    x = 678,332,642.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.