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Finding the Third Proportional to 357,864 and 780,032

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Solution

The third proportional to 357,864 and 780,032 is: 1,700,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,864 : 780,032 = 780,032 : x
  2. Step 2: Convert to fraction form
    357,864/780,032 = 780,032/x
  3. Step 3: Cross multiply
    357,864x = 780,032 × 780,032
  4. Step 4: Simplify right side
    357,864x = 608,449,921,024
  5. Step 5: Solve for x
    x = 608,449,921,024/357,864
  6. Step 6: Final answer
    x = 1,700,226.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.