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Finding the Third Proportional to 263,355 and 621,297

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Solution

The third proportional to 263,355 and 621,297 is: 1,465,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,355 : 621,297 = 621,297 : x
  2. Step 2: Convert to fraction form
    263,355/621,297 = 621,297/x
  3. Step 3: Cross multiply
    263,355x = 621,297 × 621,297
  4. Step 4: Simplify right side
    263,355x = 386,009,962,209
  5. Step 5: Solve for x
    x = 386,009,962,209/263,355
  6. Step 6: Final answer
    x = 1,465,740.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.