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Finding the Third Proportional to 415,386 and 890,388

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Solution

The third proportional to 415,386 and 890,388 is: 1,908,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,386 : 890,388 = 890,388 : x
  2. Step 2: Convert to fraction form
    415,386/890,388 = 890,388/x
  3. Step 3: Cross multiply
    415,386x = 890,388 × 890,388
  4. Step 4: Simplify right side
    415,386x = 792,790,790,544
  5. Step 5: Solve for x
    x = 792,790,790,544/415,386
  6. Step 6: Final answer
    x = 1,908,564.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.