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Finding the Third Proportional to 420,042 and 657,072

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Solution

The third proportional to 420,042 and 657,072 is: 1,027,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,042 : 657,072 = 657,072 : x
  2. Step 2: Convert to fraction form
    420,042/657,072 = 657,072/x
  3. Step 3: Cross multiply
    420,042x = 657,072 × 657,072
  4. Step 4: Simplify right side
    420,042x = 431,743,613,184
  5. Step 5: Solve for x
    x = 431,743,613,184/420,042
  6. Step 6: Final answer
    x = 1,027,858.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.