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Finding the Third Proportional to 307,601.50 and 658,943

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Solution

The third proportional to 307,601.50 and 658,943 is: 1,411,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,601.50 : 658,943 = 658,943 : x
  2. Step 2: Convert to fraction form
    307,601.50/658,943 = 658,943/x
  3. Step 3: Cross multiply
    307,601.50x = 658,943 × 658,943
  4. Step 4: Simplify right side
    307,601.50x = 434,205,877,249
  5. Step 5: Solve for x
    x = 434,205,877,249/307,601.50
  6. Step 6: Final answer
    x = 1,411,585.70

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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.