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Finding the Third Proportional to 423,518 and 636,220

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Solution

The third proportional to 423,518 and 636,220 is: 955,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,518 : 636,220 = 636,220 : x
  2. Step 2: Convert to fraction form
    423,518/636,220 = 636,220/x
  3. Step 3: Cross multiply
    423,518x = 636,220 × 636,220
  4. Step 4: Simplify right side
    423,518x = 404,775,888,400
  5. Step 5: Solve for x
    x = 404,775,888,400/423,518
  6. Step 6: Final answer
    x = 955,746.60

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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.