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Finding the Third Proportional to 645,115.50 and 1,024,875

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Solution

The third proportional to 645,115.50 and 1,024,875 is: 1,628,187.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,115.50 : 1,024,875 = 1,024,875 : x
  2. Step 2: Convert to fraction form
    645,115.50/1,024,875 = 1,024,875/x
  3. Step 3: Cross multiply
    645,115.50x = 1,024,875 × 1,024,875
  4. Step 4: Simplify right side
    645,115.50x = 1,050,368,765,625
  5. Step 5: Solve for x
    x = 1,050,368,765,625/645,115.50
  6. Step 6: Final answer
    x = 1,628,187.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.