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Finding the Third Proportional to 288,038 and 628,492

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Solution

The third proportional to 288,038 and 628,492 is: 1,371,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,038 : 628,492 = 628,492 : x
  2. Step 2: Convert to fraction form
    288,038/628,492 = 628,492/x
  3. Step 3: Cross multiply
    288,038x = 628,492 × 628,492
  4. Step 4: Simplify right side
    288,038x = 395,002,194,064
  5. Step 5: Solve for x
    x = 395,002,194,064/288,038
  6. Step 6: Final answer
    x = 1,371,354.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.