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Finding the Third Proportional to 420,977.75 and 648,071.75

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Solution

The third proportional to 420,977.75 and 648,071.75 is: 997,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,977.75 : 648,071.75 = 648,071.75 : x
  2. Step 2: Convert to fraction form
    420,977.75/648,071.75 = 648,071.75/x
  3. Step 3: Cross multiply
    420,977.75x = 648,071.75 × 648,071.75
  4. Step 4: Simplify right side
    420,977.75x = 419,996,993,148.06
  5. Step 5: Solve for x
    x = 419,996,993,148.06/420,977.75
  6. Step 6: Final answer
    x = 997,670.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.