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Finding the Third Proportional to 255,448 and 386,710

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Solution

The third proportional to 255,448 and 386,710 is: 585,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,448 : 386,710 = 386,710 : x
  2. Step 2: Convert to fraction form
    255,448/386,710 = 386,710/x
  3. Step 3: Cross multiply
    255,448x = 386,710 × 386,710
  4. Step 4: Simplify right side
    255,448x = 149,544,624,100
  5. Step 5: Solve for x
    x = 149,544,624,100/255,448
  6. Step 6: Final answer
    x = 585,421.00

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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.