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Finding the Third Proportional to 357,902 and 779,740

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Solution

The third proportional to 357,902 and 779,740 is: 1,698,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,902 : 779,740 = 779,740 : x
  2. Step 2: Convert to fraction form
    357,902/779,740 = 779,740/x
  3. Step 3: Cross multiply
    357,902x = 779,740 × 779,740
  4. Step 4: Simplify right side
    357,902x = 607,994,467,600
  5. Step 5: Solve for x
    x = 607,994,467,600/357,902
  6. Step 6: Final answer
    x = 1,698,773.60

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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.