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Finding the Third Proportional to 287,678.25 and 446,654.25

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Solution

The third proportional to 287,678.25 and 446,654.25 is: 693,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,678.25 : 446,654.25 = 446,654.25 : x
  2. Step 2: Convert to fraction form
    287,678.25/446,654.25 = 446,654.25/x
  3. Step 3: Cross multiply
    287,678.25x = 446,654.25 × 446,654.25
  4. Step 4: Simplify right side
    287,678.25x = 199,500,019,043.06
  5. Step 5: Solve for x
    x = 199,500,019,043.06/287,678.25
  6. Step 6: Final answer
    x = 693,483.15

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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.