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Finding the Third Proportional to 288,575 and 626,436

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Solution

The third proportional to 288,575 and 626,436 is: 1,359,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575 : 626,436 = 626,436 : x
  2. Step 2: Convert to fraction form
    288,575/626,436 = 626,436/x
  3. Step 3: Cross multiply
    288,575x = 626,436 × 626,436
  4. Step 4: Simplify right side
    288,575x = 392,422,062,096
  5. Step 5: Solve for x
    x = 392,422,062,096/288,575
  6. Step 6: Final answer
    x = 1,359,861.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.