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Finding the Third Proportional to 190,066 and 415,428

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Solution

The third proportional to 190,066 and 415,428 is: 908,002.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,066 : 415,428 = 415,428 : x
  2. Step 2: Convert to fraction form
    190,066/415,428 = 415,428/x
  3. Step 3: Cross multiply
    190,066x = 415,428 × 415,428
  4. Step 4: Simplify right side
    190,066x = 172,580,423,184
  5. Step 5: Solve for x
    x = 172,580,423,184/190,066
  6. Step 6: Final answer
    x = 908,002.61

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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.