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Finding the Third Proportional to 310,890 and 670,820

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Solution

The third proportional to 310,890 and 670,820 is: 1,447,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,890 : 670,820 = 670,820 : x
  2. Step 2: Convert to fraction form
    310,890/670,820 = 670,820/x
  3. Step 3: Cross multiply
    310,890x = 670,820 × 670,820
  4. Step 4: Simplify right side
    310,890x = 449,999,472,400
  5. Step 5: Solve for x
    x = 449,999,472,400/310,890
  6. Step 6: Final answer
    x = 1,447,455.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.