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Finding the Third Proportional to 640,102.50 and 1,398,303

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Solution

The third proportional to 640,102.50 and 1,398,303 is: 3,054,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,102.50 : 1,398,303 = 1,398,303 : x
  2. Step 2: Convert to fraction form
    640,102.50/1,398,303 = 1,398,303/x
  3. Step 3: Cross multiply
    640,102.50x = 1,398,303 × 1,398,303
  4. Step 4: Simplify right side
    640,102.50x = 1,955,251,279,809
  5. Step 5: Solve for x
    x = 1,955,251,279,809/640,102.50
  6. Step 6: Final answer
    x = 3,054,590.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.