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Finding the Third Proportional to 389,915,425 and 856,362,746

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Solution

The third proportional to 389,915,425 and 856,362,746 is: 1,880,810,826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915,425 : 856,362,746 = 856,362,746 : x
  2. Step 2: Convert to fraction form
    389,915,425/856,362,746 = 856,362,746/x
  3. Step 3: Cross multiply
    389,915,425x = 856,362,746 × 856,362,746
  4. Step 4: Simplify right side
    389,915,425x = 733,357,152,736,660,480
  5. Step 5: Solve for x
    x = 733,357,152,736,660,480/389,915,425
  6. Step 6: Final answer
    x = 1,880,810,826.44

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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.