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Finding the Third Proportional to 415,972 and 608,358

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Solution

The third proportional to 415,972 and 608,358 is: 889,722.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,972 : 608,358 = 608,358 : x
  2. Step 2: Convert to fraction form
    415,972/608,358 = 608,358/x
  3. Step 3: Cross multiply
    415,972x = 608,358 × 608,358
  4. Step 4: Simplify right side
    415,972x = 370,099,456,164
  5. Step 5: Solve for x
    x = 370,099,456,164/415,972
  6. Step 6: Final answer
    x = 889,722.04

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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.