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Finding the Third Proportional to 415,678.50 and 608,712.75

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Solution

The third proportional to 415,678.50 and 608,712.75 is: 891,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,678.50 : 608,712.75 = 608,712.75 : x
  2. Step 2: Convert to fraction form
    415,678.50/608,712.75 = 608,712.75/x
  3. Step 3: Cross multiply
    415,678.50x = 608,712.75 × 608,712.75
  4. Step 4: Simplify right side
    415,678.50x = 370,531,212,012.56
  5. Step 5: Solve for x
    x = 370,531,212,012.56/415,678.50
  6. Step 6: Final answer
    x = 891,388.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.