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Finding the Third Proportional to 288,220 and 460,435.75

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Solution

The third proportional to 288,220 and 460,435.75 is: 735,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,220 : 460,435.75 = 460,435.75 : x
  2. Step 2: Convert to fraction form
    288,220/460,435.75 = 460,435.75/x
  3. Step 3: Cross multiply
    288,220x = 460,435.75 × 460,435.75
  4. Step 4: Simplify right side
    288,220x = 212,001,079,878.06
  5. Step 5: Solve for x
    x = 212,001,079,878.06/288,220
  6. Step 6: Final answer
    x = 735,552.98

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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.