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Finding the Third Proportional to 190,070 and 415,436

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Solution

The third proportional to 190,070 and 415,436 is: 908,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,070 : 415,436 = 415,436 : x
  2. Step 2: Convert to fraction form
    190,070/415,436 = 415,436/x
  3. Step 3: Cross multiply
    190,070x = 415,436 × 415,436
  4. Step 4: Simplify right side
    190,070x = 172,587,070,096
  5. Step 5: Solve for x
    x = 172,587,070,096/190,070
  6. Step 6: Final answer
    x = 908,018.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.