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Finding the Third Proportional to 219,802.50 and 342,828

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Solution

The third proportional to 219,802.50 and 342,828 is: 534,712.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,802.50 : 342,828 = 342,828 : x
  2. Step 2: Convert to fraction form
    219,802.50/342,828 = 342,828/x
  3. Step 3: Cross multiply
    219,802.50x = 342,828 × 342,828
  4. Step 4: Simplify right side
    219,802.50x = 117,531,037,584
  5. Step 5: Solve for x
    x = 117,531,037,584/219,802.50
  6. Step 6: Final answer
    x = 534,712.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.