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Finding the Third Proportional to 357,958 and 779,118

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Solution

The third proportional to 357,958 and 779,118 is: 1,695,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,958 : 779,118 = 779,118 : x
  2. Step 2: Convert to fraction form
    357,958/779,118 = 779,118/x
  3. Step 3: Cross multiply
    357,958x = 779,118 × 779,118
  4. Step 4: Simplify right side
    357,958x = 607,024,857,924
  5. Step 5: Solve for x
    x = 607,024,857,924/357,958
  6. Step 6: Final answer
    x = 1,695,799.11

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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.