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Finding the Third Proportional to 288,216 and 460,432

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Solution

The third proportional to 288,216 and 460,432 is: 735,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,216 : 460,432 = 460,432 : x
  2. Step 2: Convert to fraction form
    288,216/460,432 = 460,432/x
  3. Step 3: Cross multiply
    288,216x = 460,432 × 460,432
  4. Step 4: Simplify right side
    288,216x = 211,997,626,624
  5. Step 5: Solve for x
    x = 211,997,626,624/288,216
  6. Step 6: Final answer
    x = 735,551.21

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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.