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Finding the Third Proportional to 310,288 and 668,072

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Solution

The third proportional to 310,288 and 668,072 is: 1,438,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,288 : 668,072 = 668,072 : x
  2. Step 2: Convert to fraction form
    310,288/668,072 = 668,072/x
  3. Step 3: Cross multiply
    310,288x = 668,072 × 668,072
  4. Step 4: Simplify right side
    310,288x = 446,320,197,184
  5. Step 5: Solve for x
    x = 446,320,197,184/310,288
  6. Step 6: Final answer
    x = 1,438,406.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.