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Finding the Third Proportional to 415,854 and 643,653

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Solution

The third proportional to 415,854 and 643,653 is: 996,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,854 : 643,653 = 643,653 : x
  2. Step 2: Convert to fraction form
    415,854/643,653 = 643,653/x
  3. Step 3: Cross multiply
    415,854x = 643,653 × 643,653
  4. Step 4: Simplify right side
    415,854x = 414,289,184,409
  5. Step 5: Solve for x
    x = 414,289,184,409/415,854
  6. Step 6: Final answer
    x = 996,237.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.