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Finding the Third Proportional to 310,845 and 472,347

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Solution

The third proportional to 310,845 and 472,347 is: 717,758.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,845 : 472,347 = 472,347 : x
  2. Step 2: Convert to fraction form
    310,845/472,347 = 472,347/x
  3. Step 3: Cross multiply
    310,845x = 472,347 × 472,347
  4. Step 4: Simplify right side
    310,845x = 223,111,688,409
  5. Step 5: Solve for x
    x = 223,111,688,409/310,845
  6. Step 6: Final answer
    x = 717,758.65

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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.