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Finding the Third Proportional to 389,915,432 and 856,362,760

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Solution

The third proportional to 389,915,432 and 856,362,760 is: 1,880,810,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915,432 : 856,362,760 = 856,362,760 : x
  2. Step 2: Convert to fraction form
    389,915,432/856,362,760 = 856,362,760/x
  3. Step 3: Cross multiply
    389,915,432x = 856,362,760 × 856,362,760
  4. Step 4: Simplify right side
    389,915,432x = 733,357,176,714,817,536
  5. Step 5: Solve for x
    x = 733,357,176,714,817,536/389,915,432
  6. Step 6: Final answer
    x = 1,880,810,854.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.