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Finding the Third Proportional to 310,297 and 675,890

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Solution

The third proportional to 310,297 and 675,890 is: 1,472,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,297 : 675,890 = 675,890 : x
  2. Step 2: Convert to fraction form
    310,297/675,890 = 675,890/x
  3. Step 3: Cross multiply
    310,297x = 675,890 × 675,890
  4. Step 4: Simplify right side
    310,297x = 456,827,292,100
  5. Step 5: Solve for x
    x = 456,827,292,100/310,297
  6. Step 6: Final answer
    x = 1,472,225.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.