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Finding the Third Proportional to 121,641,972 and 264,699,048

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Solution

The third proportional to 121,641,972 and 264,699,048 is: 575,998,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,641,972 : 264,699,048 = 264,699,048 : x
  2. Step 2: Convert to fraction form
    121,641,972/264,699,048 = 264,699,048/x
  3. Step 3: Cross multiply
    121,641,972x = 264,699,048 × 264,699,048
  4. Step 4: Simplify right side
    121,641,972x = 70,065,586,012,106,304
  5. Step 5: Solve for x
    x = 70,065,586,012,106,304/121,641,972
  6. Step 6: Final answer
    x = 575,998,439.19

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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.