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Finding the Third Proportional to 170,218,811 and 269,578,709

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Solution

The third proportional to 170,218,811 and 269,578,709 is: 426,936,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,218,811 : 269,578,709 = 269,578,709 : x
  2. Step 2: Convert to fraction form
    170,218,811/269,578,709 = 269,578,709/x
  3. Step 3: Cross multiply
    170,218,811x = 269,578,709 × 269,578,709
  4. Step 4: Simplify right side
    170,218,811x = 72,672,680,346,106,688
  5. Step 5: Solve for x
    x = 72,672,680,346,106,688/170,218,811
  6. Step 6: Final answer
    x = 426,936,834.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.