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Finding the Third Proportional to 256,070 and 387,643

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Solution

The third proportional to 256,070 and 387,643 is: 586,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,070 : 387,643 = 387,643 : x
  2. Step 2: Convert to fraction form
    256,070/387,643 = 387,643/x
  3. Step 3: Cross multiply
    256,070x = 387,643 × 387,643
  4. Step 4: Simplify right side
    256,070x = 150,267,095,449
  5. Step 5: Solve for x
    x = 150,267,095,449/256,070
  6. Step 6: Final answer
    x = 586,820.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.