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Finding the Third Proportional to 435,967 and 636,724

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Solution

The third proportional to 435,967 and 636,724 is: 929,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,967 : 636,724 = 636,724 : x
  2. Step 2: Convert to fraction form
    435,967/636,724 = 636,724/x
  3. Step 3: Cross multiply
    435,967x = 636,724 × 636,724
  4. Step 4: Simplify right side
    435,967x = 405,417,452,176
  5. Step 5: Solve for x
    x = 405,417,452,176/435,967
  6. Step 6: Final answer
    x = 929,926.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.