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Finding the Third Proportional to 328,071 and 704,985

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Solution

The third proportional to 328,071 and 704,985 is: 1,514,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,071 : 704,985 = 704,985 : x
  2. Step 2: Convert to fraction form
    328,071/704,985 = 704,985/x
  3. Step 3: Cross multiply
    328,071x = 704,985 × 704,985
  4. Step 4: Simplify right side
    328,071x = 497,003,850,225
  5. Step 5: Solve for x
    x = 497,003,850,225/328,071
  6. Step 6: Final answer
    x = 1,514,927.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.