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

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Solution

The third proportional to 328,688 and 469,688 is: 671,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,688 : 469,688 = 469,688 : x
  2. Step 2: Convert to fraction form
    328,688/469,688 = 469,688/x
  3. Step 3: Cross multiply
    328,688x = 469,688 × 469,688
  4. Step 4: Simplify right side
    328,688x = 220,606,817,344
  5. Step 5: Solve for x
    x = 220,606,817,344/328,688
  6. Step 6: Final answer
    x = 671,173.93

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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.