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Finding the Third Proportional to 438,392 and 643,760

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Solution

The third proportional to 438,392 and 643,760 is: 945,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,392 : 643,760 = 643,760 : x
  2. Step 2: Convert to fraction form
    438,392/643,760 = 643,760/x
  3. Step 3: Cross multiply
    438,392x = 643,760 × 643,760
  4. Step 4: Simplify right side
    438,392x = 414,426,937,600
  5. Step 5: Solve for x
    x = 414,426,937,600/438,392
  6. Step 6: Final answer
    x = 945,334.17

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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.