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Finding the Third Proportional to 170,218,809 and 269,578,705.50

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Solution

The third proportional to 170,218,809 and 269,578,705.50 is: 426,936,828.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,218,809 : 269,578,705.50 = 269,578,705.50 : x
  2. Step 2: Convert to fraction form
    170,218,809/269,578,705.50 = 269,578,705.50/x
  3. Step 3: Cross multiply
    170,218,809x = 269,578,705.50 × 269,578,705.50
  4. Step 4: Simplify right side
    170,218,809x = 72,672,678,459,055,728
  5. Step 5: Solve for x
    x = 72,672,678,459,055,728/170,218,809
  6. Step 6: Final answer
    x = 426,936,828.46

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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.