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Finding the Third Proportional to 288,391 and 621,157

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Solution

The third proportional to 288,391 and 621,157 is: 1,337,892.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,391 : 621,157 = 621,157 : x
  2. Step 2: Convert to fraction form
    288,391/621,157 = 621,157/x
  3. Step 3: Cross multiply
    288,391x = 621,157 × 621,157
  4. Step 4: Simplify right side
    288,391x = 385,836,018,649
  5. Step 5: Solve for x
    x = 385,836,018,649/288,391
  6. Step 6: Final answer
    x = 1,337,892.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.