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Finding the Third Proportional to 445,512 and 643,688

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Solution

The third proportional to 445,512 and 643,688 is: 930,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,512 : 643,688 = 643,688 : x
  2. Step 2: Convert to fraction form
    445,512/643,688 = 643,688/x
  3. Step 3: Cross multiply
    445,512x = 643,688 × 643,688
  4. Step 4: Simplify right side
    445,512x = 414,334,241,344
  5. Step 5: Solve for x
    x = 414,334,241,344/445,512
  6. Step 6: Final answer
    x = 930,018.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.