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Finding the Third Proportional to 145,821 and 228,451.50

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Solution

The third proportional to 145,821 and 228,451.50 is: 357,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,821 : 228,451.50 = 228,451.50 : x
  2. Step 2: Convert to fraction form
    145,821/228,451.50 = 228,451.50/x
  3. Step 3: Cross multiply
    145,821x = 228,451.50 × 228,451.50
  4. Step 4: Simplify right side
    145,821x = 52,190,087,852.25
  5. Step 5: Solve for x
    x = 52,190,087,852.25/145,821
  6. Step 6: Final answer
    x = 357,905.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.