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Finding the Third Proportional to 387,286 and 598,223

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Solution

The third proportional to 387,286 and 598,223 is: 924,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,286 : 598,223 = 598,223 : x
  2. Step 2: Convert to fraction form
    387,286/598,223 = 598,223/x
  3. Step 3: Cross multiply
    387,286x = 598,223 × 598,223
  4. Step 4: Simplify right side
    387,286x = 357,870,757,729
  5. Step 5: Solve for x
    x = 357,870,757,729/387,286
  6. Step 6: Final answer
    x = 924,047.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.