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Finding the Third Proportional to 435,772.50 and 636,934.50

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Solution

The third proportional to 435,772.50 and 636,934.50 is: 930,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,772.50 : 636,934.50 = 636,934.50 : x
  2. Step 2: Convert to fraction form
    435,772.50/636,934.50 = 636,934.50/x
  3. Step 3: Cross multiply
    435,772.50x = 636,934.50 × 636,934.50
  4. Step 4: Simplify right side
    435,772.50x = 405,685,557,290.25
  5. Step 5: Solve for x
    x = 405,685,557,290.25/435,772.50
  6. Step 6: Final answer
    x = 930,957.22

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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.