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Finding the Third Proportional to 144,213 and 312,762

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Solution

The third proportional to 144,213 and 312,762 is: 678,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,213 : 312,762 = 312,762 : x
  2. Step 2: Convert to fraction form
    144,213/312,762 = 312,762/x
  3. Step 3: Cross multiply
    144,213x = 312,762 × 312,762
  4. Step 4: Simplify right side
    144,213x = 97,820,068,644
  5. Step 5: Solve for x
    x = 97,820,068,644/144,213
  6. Step 6: Final answer
    x = 678,302.71

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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.