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Finding the Third Proportional to 356,998 and 783,008

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Solution

The third proportional to 356,998 and 783,008 is: 1,717,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,998 : 783,008 = 783,008 : x
  2. Step 2: Convert to fraction form
    356,998/783,008 = 783,008/x
  3. Step 3: Cross multiply
    356,998x = 783,008 × 783,008
  4. Step 4: Simplify right side
    356,998x = 613,101,528,064
  5. Step 5: Solve for x
    x = 613,101,528,064/356,998
  6. Step 6: Final answer
    x = 1,717,380.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.