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Finding the Third Proportional to 357,187 and 486,421

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Solution

The third proportional to 357,187 and 486,421 is: 662,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,187 : 486,421 = 486,421 : x
  2. Step 2: Convert to fraction form
    357,187/486,421 = 486,421/x
  3. Step 3: Cross multiply
    357,187x = 486,421 × 486,421
  4. Step 4: Simplify right side
    357,187x = 236,605,389,241
  5. Step 5: Solve for x
    x = 236,605,389,241/357,187
  6. Step 6: Final answer
    x = 662,413.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.