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Finding the Third Proportional to 434,532 and 636,242

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Solution

The third proportional to 434,532 and 636,242 is: 931,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,532 : 636,242 = 636,242 : x
  2. Step 2: Convert to fraction form
    434,532/636,242 = 636,242/x
  3. Step 3: Cross multiply
    434,532x = 636,242 × 636,242
  4. Step 4: Simplify right side
    434,532x = 404,803,882,564
  5. Step 5: Solve for x
    x = 404,803,882,564/434,532
  6. Step 6: Final answer
    x = 931,585.90

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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.