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Finding the Third Proportional to 318,896 and 670,840

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Solution

The third proportional to 318,896 and 670,840 is: 1,411,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,896 : 670,840 = 670,840 : x
  2. Step 2: Convert to fraction form
    318,896/670,840 = 670,840/x
  3. Step 3: Cross multiply
    318,896x = 670,840 × 670,840
  4. Step 4: Simplify right side
    318,896x = 450,026,305,600
  5. Step 5: Solve for x
    x = 450,026,305,600/318,896
  6. Step 6: Final answer
    x = 1,411,200.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.