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Finding the Third Proportional to 296,030 and 636,412

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Solution

The third proportional to 296,030 and 636,412 is: 1,368,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,030 : 636,412 = 636,412 : x
  2. Step 2: Convert to fraction form
    296,030/636,412 = 636,412/x
  3. Step 3: Cross multiply
    296,030x = 636,412 × 636,412
  4. Step 4: Simplify right side
    296,030x = 405,020,233,744
  5. Step 5: Solve for x
    x = 405,020,233,744/296,030
  6. Step 6: Final answer
    x = 1,368,172.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.