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Finding the Third Proportional to 295,600 and 646,412

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Solution

The third proportional to 295,600 and 646,412 is: 1,413,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,600 : 646,412 = 646,412 : x
  2. Step 2: Convert to fraction form
    295,600/646,412 = 646,412/x
  3. Step 3: Cross multiply
    295,600x = 646,412 × 646,412
  4. Step 4: Simplify right side
    295,600x = 417,848,473,744
  5. Step 5: Solve for x
    x = 417,848,473,744/295,600
  6. Step 6: Final answer
    x = 1,413,560.47

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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.