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Finding the Third Proportional to 328,968 and 706,887

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Solution

The third proportional to 328,968 and 706,887 is: 1,518,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,968 : 706,887 = 706,887 : x
  2. Step 2: Convert to fraction form
    328,968/706,887 = 706,887/x
  3. Step 3: Cross multiply
    328,968x = 706,887 × 706,887
  4. Step 4: Simplify right side
    328,968x = 499,689,230,769
  5. Step 5: Solve for x
    x = 499,689,230,769/328,968
  6. Step 6: Final answer
    x = 1,518,959.99

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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.