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Finding the Third Proportional to 354,070 and 541,428

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Solution

The third proportional to 354,070 and 541,428 is: 827,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,070 : 541,428 = 541,428 : x
  2. Step 2: Convert to fraction form
    354,070/541,428 = 541,428/x
  3. Step 3: Cross multiply
    354,070x = 541,428 × 541,428
  4. Step 4: Simplify right side
    354,070x = 293,144,279,184
  5. Step 5: Solve for x
    x = 293,144,279,184/354,070
  6. Step 6: Final answer
    x = 827,927.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.