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Finding the Third Proportional to 328,710 and 707,355.75

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Solution

The third proportional to 328,710 and 707,355.75 is: 1,522,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,710 : 707,355.75 = 707,355.75 : x
  2. Step 2: Convert to fraction form
    328,710/707,355.75 = 707,355.75/x
  3. Step 3: Cross multiply
    328,710x = 707,355.75 × 707,355.75
  4. Step 4: Simplify right side
    328,710x = 500,352,157,058.06
  5. Step 5: Solve for x
    x = 500,352,157,058.06/328,710
  6. Step 6: Final answer
    x = 1,522,168.95

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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.