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Finding the Third Proportional to 328,688 and 469,704

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Solution

The third proportional to 328,688 and 469,704 is: 671,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,688 : 469,704 = 469,704 : x
  2. Step 2: Convert to fraction form
    328,688/469,704 = 469,704/x
  3. Step 3: Cross multiply
    328,688x = 469,704 × 469,704
  4. Step 4: Simplify right side
    328,688x = 220,621,847,616
  5. Step 5: Solve for x
    x = 220,621,847,616/328,688
  6. Step 6: Final answer
    x = 671,219.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.