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Finding the Third Proportional to 141,040 and 307,808

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Solution

The third proportional to 141,040 and 307,808 is: 671,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,040 : 307,808 = 307,808 : x
  2. Step 2: Convert to fraction form
    141,040/307,808 = 307,808/x
  3. Step 3: Cross multiply
    141,040x = 307,808 × 307,808
  4. Step 4: Simplify right side
    141,040x = 94,745,764,864
  5. Step 5: Solve for x
    x = 94,745,764,864/141,040
  6. Step 6: Final answer
    x = 671,765.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.