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Finding the Third Proportional to 407,810 and 620,355

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Solution

The third proportional to 407,810 and 620,355 is: 943,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,810 : 620,355 = 620,355 : x
  2. Step 2: Convert to fraction form
    407,810/620,355 = 620,355/x
  3. Step 3: Cross multiply
    407,810x = 620,355 × 620,355
  4. Step 4: Simplify right side
    407,810x = 384,840,326,025
  5. Step 5: Solve for x
    x = 384,840,326,025/407,810
  6. Step 6: Final answer
    x = 943,675.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.