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Finding the Third Proportional to 328,190 and 717,124

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Solution

The third proportional to 328,190 and 717,124 is: 1,566,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,190 : 717,124 = 717,124 : x
  2. Step 2: Convert to fraction form
    328,190/717,124 = 717,124/x
  3. Step 3: Cross multiply
    328,190x = 717,124 × 717,124
  4. Step 4: Simplify right side
    328,190x = 514,266,831,376
  5. Step 5: Solve for x
    x = 514,266,831,376/328,190
  6. Step 6: Final answer
    x = 1,566,978.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.