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Finding the Third Proportional to 310,898 and 670,836

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Solution

The third proportional to 310,898 and 670,836 is: 1,447,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,898 : 670,836 = 670,836 : x
  2. Step 2: Convert to fraction form
    310,898/670,836 = 670,836/x
  3. Step 3: Cross multiply
    310,898x = 670,836 × 670,836
  4. Step 4: Simplify right side
    310,898x = 450,020,938,896
  5. Step 5: Solve for x
    x = 450,020,938,896/310,898
  6. Step 6: Final answer
    x = 1,447,487.40

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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.