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Finding the Third Proportional to 288,220 and 460,438

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Solution

The third proportional to 288,220 and 460,438 is: 735,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,220 : 460,438 = 460,438 : x
  2. Step 2: Convert to fraction form
    288,220/460,438 = 460,438/x
  3. Step 3: Cross multiply
    288,220x = 460,438 × 460,438
  4. Step 4: Simplify right side
    288,220x = 212,003,151,844
  5. Step 5: Solve for x
    x = 212,003,151,844/288,220
  6. Step 6: Final answer
    x = 735,560.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.