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Finding the Third Proportional to 415,638 and 896,136

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Solution

The third proportional to 415,638 and 896,136 is: 1,932,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,638 : 896,136 = 896,136 : x
  2. Step 2: Convert to fraction form
    415,638/896,136 = 896,136/x
  3. Step 3: Cross multiply
    415,638x = 896,136 × 896,136
  4. Step 4: Simplify right side
    415,638x = 803,059,730,496
  5. Step 5: Solve for x
    x = 803,059,730,496/415,638
  6. Step 6: Final answer
    x = 1,932,113.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.