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Finding the Third Proportional to 302,817 and 657,148

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Solution

The third proportional to 302,817 and 657,148 is: 1,426,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,817 : 657,148 = 657,148 : x
  2. Step 2: Convert to fraction form
    302,817/657,148 = 657,148/x
  3. Step 3: Cross multiply
    302,817x = 657,148 × 657,148
  4. Step 4: Simplify right side
    302,817x = 431,843,493,904
  5. Step 5: Solve for x
    x = 431,843,493,904/302,817
  6. Step 6: Final answer
    x = 1,426,087.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.