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Finding the Third Proportional to 219,866 and 348,430

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Solution

The third proportional to 219,866 and 348,430 is: 552,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,866 : 348,430 = 348,430 : x
  2. Step 2: Convert to fraction form
    219,866/348,430 = 348,430/x
  3. Step 3: Cross multiply
    219,866x = 348,430 × 348,430
  4. Step 4: Simplify right side
    219,866x = 121,403,464,900
  5. Step 5: Solve for x
    x = 121,403,464,900/219,866
  6. Step 6: Final answer
    x = 552,170.25

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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.