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Finding the Third Proportional to 291,372 and 623,262

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Solution

The third proportional to 291,372 and 623,262 is: 1,333,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,372 : 623,262 = 623,262 : x
  2. Step 2: Convert to fraction form
    291,372/623,262 = 623,262/x
  3. Step 3: Cross multiply
    291,372x = 623,262 × 623,262
  4. Step 4: Simplify right side
    291,372x = 388,455,520,644
  5. Step 5: Solve for x
    x = 388,455,520,644/291,372
  6. Step 6: Final answer
    x = 1,333,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.