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Finding the Third Proportional to 291,272 and 623,030

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Solution

The third proportional to 291,272 and 623,030 is: 1,332,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,272 : 623,030 = 623,030 : x
  2. Step 2: Convert to fraction form
    291,272/623,030 = 623,030/x
  3. Step 3: Cross multiply
    291,272x = 623,030 × 623,030
  4. Step 4: Simplify right side
    291,272x = 388,166,380,900
  5. Step 5: Solve for x
    x = 388,166,380,900/291,272
  6. Step 6: Final answer
    x = 1,332,659.44

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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.