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Finding the Third Proportional to 379,811 and 601,428

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Solution

The third proportional to 379,811 and 601,428 is: 952,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,811 : 601,428 = 601,428 : x
  2. Step 2: Convert to fraction form
    379,811/601,428 = 601,428/x
  3. Step 3: Cross multiply
    379,811x = 601,428 × 601,428
  4. Step 4: Simplify right side
    379,811x = 361,715,639,184
  5. Step 5: Solve for x
    x = 361,715,639,184/379,811
  6. Step 6: Final answer
    x = 952,356.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.