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Finding the Third Proportional to 144,225 and 312,786

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Solution

The third proportional to 144,225 and 312,786 is: 678,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,225 : 312,786 = 312,786 : x
  2. Step 2: Convert to fraction form
    144,225/312,786 = 312,786/x
  3. Step 3: Cross multiply
    144,225x = 312,786 × 312,786
  4. Step 4: Simplify right side
    144,225x = 97,835,081,796
  5. Step 5: Solve for x
    x = 97,835,081,796/144,225
  6. Step 6: Final answer
    x = 678,350.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.