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Finding the Third Proportional to 472,710 and 636,886

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Solution

The third proportional to 472,710 and 636,886 is: 858,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,710 : 636,886 = 636,886 : x
  2. Step 2: Convert to fraction form
    472,710/636,886 = 636,886/x
  3. Step 3: Cross multiply
    472,710x = 636,886 × 636,886
  4. Step 4: Simplify right side
    472,710x = 405,623,776,996
  5. Step 5: Solve for x
    x = 405,623,776,996/472,710
  6. Step 6: Final answer
    x = 858,081.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.