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Finding the Third Proportional to 789,510,928 and 1,710,819,224

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Solution

The third proportional to 789,510,928 and 1,710,819,224 is: 3,707,234,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,510,928 : 1,710,819,224 = 1,710,819,224 : x
  2. Step 2: Convert to fraction form
    789,510,928/1,710,819,224 = 1,710,819,224/x
  3. Step 3: Cross multiply
    789,510,928x = 1,710,819,224 × 1,710,819,224
  4. Step 4: Simplify right side
    789,510,928x = 2,926,902,417,207,962,112
  5. Step 5: Solve for x
    x = 2,926,902,417,207,962,112/789,510,928
  6. Step 6: Final answer
    x = 3,707,234,837.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.