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Finding the Third Proportional to 389,915,440 and 856,362,776

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Solution

The third proportional to 389,915,440 and 856,362,776 is: 1,880,810,885.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,915,440 : 856,362,776 = 856,362,776 : x
  2. Step 2: Convert to fraction form
    389,915,440/856,362,776 = 856,362,776/x
  3. Step 3: Cross multiply
    389,915,440x = 856,362,776 × 856,362,776
  4. Step 4: Simplify right side
    389,915,440x = 733,357,204,118,426,112
  5. Step 5: Solve for x
    x = 733,357,204,118,426,112/389,915,440
  6. Step 6: Final answer
    x = 1,880,810,885.86

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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.