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Finding the Third Proportional to 204,030 and 432,306

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Solution

The third proportional to 204,030 and 432,306 is: 915,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,030 : 432,306 = 432,306 : x
  2. Step 2: Convert to fraction form
    204,030/432,306 = 432,306/x
  3. Step 3: Cross multiply
    204,030x = 432,306 × 432,306
  4. Step 4: Simplify right side
    204,030x = 186,888,477,636
  5. Step 5: Solve for x
    x = 186,888,477,636/204,030
  6. Step 6: Final answer
    x = 915,985.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.