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Finding the Third Proportional to 297,906 and 702,642

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Solution

The third proportional to 297,906 and 702,642 is: 1,657,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,906 : 702,642 = 702,642 : x
  2. Step 2: Convert to fraction form
    297,906/702,642 = 702,642/x
  3. Step 3: Cross multiply
    297,906x = 702,642 × 702,642
  4. Step 4: Simplify right side
    297,906x = 493,705,780,164
  5. Step 5: Solve for x
    x = 493,705,780,164/297,906
  6. Step 6: Final answer
    x = 1,657,253.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.