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Finding the Third Proportional to 144,208 and 312,740

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Solution

The third proportional to 144,208 and 312,740 is: 678,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,208 : 312,740 = 312,740 : x
  2. Step 2: Convert to fraction form
    144,208/312,740 = 312,740/x
  3. Step 3: Cross multiply
    144,208x = 312,740 × 312,740
  4. Step 4: Simplify right side
    144,208x = 97,806,307,600
  5. Step 5: Solve for x
    x = 97,806,307,600/144,208
  6. Step 6: Final answer
    x = 678,230.80

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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.