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Finding the Third Proportional to 302,416 and 643,064

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Solution

The third proportional to 302,416 and 643,064 is: 1,367,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,416 : 643,064 = 643,064 : x
  2. Step 2: Convert to fraction form
    302,416/643,064 = 643,064/x
  3. Step 3: Cross multiply
    302,416x = 643,064 × 643,064
  4. Step 4: Simplify right side
    302,416x = 413,531,308,096
  5. Step 5: Solve for x
    x = 413,531,308,096/302,416
  6. Step 6: Final answer
    x = 1,367,425.36

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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.