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Finding the Third Proportional to 255,388 and 386,633

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Solution

The third proportional to 255,388 and 386,633 is: 585,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,388 : 386,633 = 386,633 : x
  2. Step 2: Convert to fraction form
    255,388/386,633 = 386,633/x
  3. Step 3: Cross multiply
    255,388x = 386,633 × 386,633
  4. Step 4: Simplify right side
    255,388x = 149,485,076,689
  5. Step 5: Solve for x
    x = 149,485,076,689/255,388
  6. Step 6: Final answer
    x = 585,325.37

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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.