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Finding the Third Proportional to 434,628 and 916,452

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Solution

The third proportional to 434,628 and 916,452 is: 1,932,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,628 : 916,452 = 916,452 : x
  2. Step 2: Convert to fraction form
    434,628/916,452 = 916,452/x
  3. Step 3: Cross multiply
    434,628x = 916,452 × 916,452
  4. Step 4: Simplify right side
    434,628x = 839,884,268,304
  5. Step 5: Solve for x
    x = 839,884,268,304/434,628
  6. Step 6: Final answer
    x = 1,932,420.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.