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Finding the Third Proportional to 288,153.75 and 632,358

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Solution

The third proportional to 288,153.75 and 632,358 is: 1,387,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,153.75 : 632,358 = 632,358 : x
  2. Step 2: Convert to fraction form
    288,153.75/632,358 = 632,358/x
  3. Step 3: Cross multiply
    288,153.75x = 632,358 × 632,358
  4. Step 4: Simplify right side
    288,153.75x = 399,876,640,164
  5. Step 5: Solve for x
    x = 399,876,640,164/288,153.75
  6. Step 6: Final answer
    x = 1,387,719.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.