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Finding the Third Proportional to 434,507 and 636,205

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Solution

The third proportional to 434,507 and 636,205 is: 931,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,507 : 636,205 = 636,205 : x
  2. Step 2: Convert to fraction form
    434,507/636,205 = 636,205/x
  3. Step 3: Cross multiply
    434,507x = 636,205 × 636,205
  4. Step 4: Simplify right side
    434,507x = 404,756,802,025
  5. Step 5: Solve for x
    x = 404,756,802,025/434,507
  6. Step 6: Final answer
    x = 931,531.14

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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.