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Finding the Third Proportional to 308,570 and 409,437

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Solution

The third proportional to 308,570 and 409,437 is: 543,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,570 : 409,437 = 409,437 : x
  2. Step 2: Convert to fraction form
    308,570/409,437 = 409,437/x
  3. Step 3: Cross multiply
    308,570x = 409,437 × 409,437
  4. Step 4: Simplify right side
    308,570x = 167,638,656,969
  5. Step 5: Solve for x
    x = 167,638,656,969/308,570
  6. Step 6: Final answer
    x = 543,275.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.