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Finding the Third Proportional to 228,039 and 357,718.50

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Solution

The third proportional to 228,039 and 357,718.50 is: 561,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,039 : 357,718.50 = 357,718.50 : x
  2. Step 2: Convert to fraction form
    228,039/357,718.50 = 357,718.50/x
  3. Step 3: Cross multiply
    228,039x = 357,718.50 × 357,718.50
  4. Step 4: Simplify right side
    228,039x = 127,962,525,242.25
  5. Step 5: Solve for x
    x = 127,962,525,242.25/228,039
  6. Step 6: Final answer
    x = 561,143.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.