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Finding the Third Proportional to 144,893 and 311,210.50

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Solution

The third proportional to 144,893 and 311,210.50 is: 668,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,893 : 311,210.50 = 311,210.50 : x
  2. Step 2: Convert to fraction form
    144,893/311,210.50 = 311,210.50/x
  3. Step 3: Cross multiply
    144,893x = 311,210.50 × 311,210.50
  4. Step 4: Simplify right side
    144,893x = 96,851,975,310.25
  5. Step 5: Solve for x
    x = 96,851,975,310.25/144,893
  6. Step 6: Final answer
    x = 668,437.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.