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Finding the Third Proportional to 436,906 and 590,287

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Solution

The third proportional to 436,906 and 590,287 is: 797,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,906 : 590,287 = 590,287 : x
  2. Step 2: Convert to fraction form
    436,906/590,287 = 590,287/x
  3. Step 3: Cross multiply
    436,906x = 590,287 × 590,287
  4. Step 4: Simplify right side
    436,906x = 348,438,742,369
  5. Step 5: Solve for x
    x = 348,438,742,369/436,906
  6. Step 6: Final answer
    x = 797,514.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.