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Finding the Third Proportional to 685,408 and 1,475,840

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Solution

The third proportional to 685,408 and 1,475,840 is: 3,177,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,408 : 1,475,840 = 1,475,840 : x
  2. Step 2: Convert to fraction form
    685,408/1,475,840 = 1,475,840/x
  3. Step 3: Cross multiply
    685,408x = 1,475,840 × 1,475,840
  4. Step 4: Simplify right side
    685,408x = 2,178,103,705,600
  5. Step 5: Solve for x
    x = 2,178,103,705,600/685,408
  6. Step 6: Final answer
    x = 3,177,820.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.