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Finding the Third Proportional to 415,383 and 890,382

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Solution

The third proportional to 415,383 and 890,382 is: 1,908,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,383 : 890,382 = 890,382 : x
  2. Step 2: Convert to fraction form
    415,383/890,382 = 890,382/x
  3. Step 3: Cross multiply
    415,383x = 890,382 × 890,382
  4. Step 4: Simplify right side
    415,383x = 792,780,105,924
  5. Step 5: Solve for x
    x = 792,780,105,924/415,383
  6. Step 6: Final answer
    x = 1,908,552.12

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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.