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Finding the Third Proportional to 348,705 and 538,830

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Solution

The third proportional to 348,705 and 538,830 is: 832,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,705 : 538,830 = 538,830 : x
  2. Step 2: Convert to fraction form
    348,705/538,830 = 538,830/x
  3. Step 3: Cross multiply
    348,705x = 538,830 × 538,830
  4. Step 4: Simplify right side
    348,705x = 290,337,768,900
  5. Step 5: Solve for x
    x = 290,337,768,900/348,705
  6. Step 6: Final answer
    x = 832,617.17

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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.