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Finding the Third Proportional to 424,537.50 and 636,742.50

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Solution

The third proportional to 424,537.50 and 636,742.50 is: 955,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,537.50 : 636,742.50 = 636,742.50 : x
  2. Step 2: Convert to fraction form
    424,537.50/636,742.50 = 636,742.50/x
  3. Step 3: Cross multiply
    424,537.50x = 636,742.50 × 636,742.50
  4. Step 4: Simplify right side
    424,537.50x = 405,441,011,306.25
  5. Step 5: Solve for x
    x = 405,441,011,306.25/424,537.50
  6. Step 6: Final answer
    x = 955,018.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.