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Finding the Third Proportional to 767,586,387 and 1,122,593,124

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Solution

The third proportional to 767,586,387 and 1,122,593,124 is: 1,641,789,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,586,387 : 1,122,593,124 = 1,122,593,124 : x
  2. Step 2: Convert to fraction form
    767,586,387/1,122,593,124 = 1,122,593,124/x
  3. Step 3: Cross multiply
    767,586,387x = 1,122,593,124 × 1,122,593,124
  4. Step 4: Simplify right side
    767,586,387x = 1,260,215,322,052,079,360
  5. Step 5: Solve for x
    x = 1,260,215,322,052,079,360/767,586,387
  6. Step 6: Final answer
    x = 1,641,789,567.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.