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Finding the Third Proportional to 315,139.50 and 472,929.75

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Solution

The third proportional to 315,139.50 and 472,929.75 is: 709,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,139.50 : 472,929.75 = 472,929.75 : x
  2. Step 2: Convert to fraction form
    315,139.50/472,929.75 = 472,929.75/x
  3. Step 3: Cross multiply
    315,139.50x = 472,929.75 × 472,929.75
  4. Step 4: Simplify right side
    315,139.50x = 223,662,548,435.06
  5. Step 5: Solve for x
    x = 223,662,548,435.06/315,139.50
  6. Step 6: Final answer
    x = 709,725.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.