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Finding the Third Proportional to 100,915 and 228,045.50

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Solution

The third proportional to 100,915 and 228,045.50 is: 515,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,915 : 228,045.50 = 228,045.50 : x
  2. Step 2: Convert to fraction form
    100,915/228,045.50 = 228,045.50/x
  3. Step 3: Cross multiply
    100,915x = 228,045.50 × 228,045.50
  4. Step 4: Simplify right side
    100,915x = 52,004,750,070.25
  5. Step 5: Solve for x
    x = 52,004,750,070.25/100,915
  6. Step 6: Final answer
    x = 515,332.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.