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Finding the Third Proportional to 678,100 and 1,450,575

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Solution

The third proportional to 678,100 and 1,450,575 is: 3,103,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,100 : 1,450,575 = 1,450,575 : x
  2. Step 2: Convert to fraction form
    678,100/1,450,575 = 1,450,575/x
  3. Step 3: Cross multiply
    678,100x = 1,450,575 × 1,450,575
  4. Step 4: Simplify right side
    678,100x = 2,104,167,830,625
  5. Step 5: Solve for x
    x = 2,104,167,830,625/678,100
  6. Step 6: Final answer
    x = 3,103,034.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.