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Finding the Third Proportional to 348,642 and 538,731

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Solution

The third proportional to 348,642 and 538,731 is: 832,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,642 : 538,731 = 538,731 : x
  2. Step 2: Convert to fraction form
    348,642/538,731 = 538,731/x
  3. Step 3: Cross multiply
    348,642x = 538,731 × 538,731
  4. Step 4: Simplify right side
    348,642x = 290,231,090,361
  5. Step 5: Solve for x
    x = 290,231,090,361/348,642
  6. Step 6: Final answer
    x = 832,461.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.