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Finding the Third Proportional to 293,179.50 and 642,461.63

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Solution

The third proportional to 293,179.50 and 642,461.63 is: 1,407,864.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,179.50 : 642,461.63 = 642,461.63 : x
  2. Step 2: Convert to fraction form
    293,179.50/642,461.63 = 642,461.63/x
  3. Step 3: Cross multiply
    293,179.50x = 642,461.63 × 642,461.63
  4. Step 4: Simplify right side
    293,179.50x = 412,756,939,597.64
  5. Step 5: Solve for x
    x = 412,756,939,597.64/293,179.50
  6. Step 6: Final answer
    x = 1,407,864.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.