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Finding the Third Proportional to 615,532 and 920,836

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Solution

The third proportional to 615,532 and 920,836 is: 1,377,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,532 : 920,836 = 920,836 : x
  2. Step 2: Convert to fraction form
    615,532/920,836 = 920,836/x
  3. Step 3: Cross multiply
    615,532x = 920,836 × 920,836
  4. Step 4: Simplify right side
    615,532x = 847,938,938,896
  5. Step 5: Solve for x
    x = 847,938,938,896/615,532
  6. Step 6: Final answer
    x = 1,377,570.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.