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Finding the Third Proportional to 228,802.50 and 346,160.25

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Solution

The third proportional to 228,802.50 and 346,160.25 is: 523,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,802.50 : 346,160.25 = 346,160.25 : x
  2. Step 2: Convert to fraction form
    228,802.50/346,160.25 = 346,160.25/x
  3. Step 3: Cross multiply
    228,802.50x = 346,160.25 × 346,160.25
  4. Step 4: Simplify right side
    228,802.50x = 119,826,918,680.06
  5. Step 5: Solve for x
    x = 119,826,918,680.06/228,802.50
  6. Step 6: Final answer
    x = 523,713.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.