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Finding the Third Proportional to 310,292 and 668,080

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Solution

The third proportional to 310,292 and 668,080 is: 1,438,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,292 : 668,080 = 668,080 : x
  2. Step 2: Convert to fraction form
    310,292/668,080 = 668,080/x
  3. Step 3: Cross multiply
    310,292x = 668,080 × 668,080
  4. Step 4: Simplify right side
    310,292x = 446,330,886,400
  5. Step 5: Solve for x
    x = 446,330,886,400/310,292
  6. Step 6: Final answer
    x = 1,438,422.15

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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.