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Finding the Third Proportional to 386,032 and 556,902

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Solution

The third proportional to 386,032 and 556,902 is: 803,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,032 : 556,902 = 556,902 : x
  2. Step 2: Convert to fraction form
    386,032/556,902 = 556,902/x
  3. Step 3: Cross multiply
    386,032x = 556,902 × 556,902
  4. Step 4: Simplify right side
    386,032x = 310,139,837,604
  5. Step 5: Solve for x
    x = 310,139,837,604/386,032
  6. Step 6: Final answer
    x = 803,404.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.