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Finding the Third Proportional to 152,220 and 328,831

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Solution

The third proportional to 152,220 and 328,831 is: 710,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,220 : 328,831 = 328,831 : x
  2. Step 2: Convert to fraction form
    152,220/328,831 = 328,831/x
  3. Step 3: Cross multiply
    152,220x = 328,831 × 328,831
  4. Step 4: Simplify right side
    152,220x = 108,129,826,561
  5. Step 5: Solve for x
    x = 108,129,826,561/152,220
  6. Step 6: Final answer
    x = 710,352.30

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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.