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Finding the Third Proportional to 328,890 and 710,236

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Solution

The third proportional to 328,890 and 710,236 is: 1,533,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,890 : 710,236 = 710,236 : x
  2. Step 2: Convert to fraction form
    328,890/710,236 = 710,236/x
  3. Step 3: Cross multiply
    328,890x = 710,236 × 710,236
  4. Step 4: Simplify right side
    328,890x = 504,435,175,696
  5. Step 5: Solve for x
    x = 504,435,175,696/328,890
  6. Step 6: Final answer
    x = 1,533,750.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.