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Finding the Third Proportional to 180,487 and 264,574

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Solution

The third proportional to 180,487 and 264,574 is: 387,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,487 : 264,574 = 264,574 : x
  2. Step 2: Convert to fraction form
    180,487/264,574 = 264,574/x
  3. Step 3: Cross multiply
    180,487x = 264,574 × 264,574
  4. Step 4: Simplify right side
    180,487x = 69,999,401,476
  5. Step 5: Solve for x
    x = 69,999,401,476/180,487
  6. Step 6: Final answer
    x = 387,836.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.