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Finding the Third Proportional to 144,206.06 and 315,564.75

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Solution

The third proportional to 144,206.06 and 315,564.75 is: 690,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,206.06 : 315,564.75 = 315,564.75 : x
  2. Step 2: Convert to fraction form
    144,206.06/315,564.75 = 315,564.75/x
  3. Step 3: Cross multiply
    144,206.06x = 315,564.75 × 315,564.75
  4. Step 4: Simplify right side
    144,206.06x = 99,581,111,442.56
  5. Step 5: Solve for x
    x = 99,581,111,442.56/144,206.06
  6. Step 6: Final answer
    x = 690,547.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.