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Finding the Third Proportional to 310,878 and 472,393.50

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Solution

The third proportional to 310,878 and 472,393.50 is: 717,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878 : 472,393.50 = 472,393.50 : x
  2. Step 2: Convert to fraction form
    310,878/472,393.50 = 472,393.50/x
  3. Step 3: Cross multiply
    310,878x = 472,393.50 × 472,393.50
  4. Step 4: Simplify right side
    310,878x = 223,155,618,842.25
  5. Step 5: Solve for x
    x = 223,155,618,842.25/310,878
  6. Step 6: Final answer
    x = 717,823.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.