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Finding the Third Proportional to 305,309.35 and 651,196.87

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Solution

The third proportional to 305,309.35 and 651,196.87 is: 1,388,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,309.35 : 651,196.87 = 651,196.87 : x
  2. Step 2: Convert to fraction form
    305,309.35/651,196.87 = 651,196.87/x
  3. Step 3: Cross multiply
    305,309.35x = 651,196.87 × 651,196.87
  4. Step 4: Simplify right side
    305,309.35x = 424,057,363,332.43
  5. Step 5: Solve for x
    x = 424,057,363,332.43/305,309.35
  6. Step 6: Final answer
    x = 1,388,943.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.