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Finding the Third Proportional to 144,423.95 and 311,683.10

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Solution

The third proportional to 144,423.95 and 311,683.10 is: 672,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,423.95 : 311,683.10 = 311,683.10 : x
  2. Step 2: Convert to fraction form
    144,423.95/311,683.10 = 311,683.10/x
  3. Step 3: Cross multiply
    144,423.95x = 311,683.10 × 311,683.10
  4. Step 4: Simplify right side
    144,423.95x = 97,146,352,147.09
  5. Step 5: Solve for x
    x = 97,146,352,147.09/144,423.95
  6. Step 6: Final answer
    x = 672,647.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.