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Finding the Third Proportional to 635,320.50 and 931,786.50

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Solution

The third proportional to 635,320.50 and 931,786.50 is: 1,366,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,320.50 : 931,786.50 = 931,786.50 : x
  2. Step 2: Convert to fraction form
    635,320.50/931,786.50 = 931,786.50/x
  3. Step 3: Cross multiply
    635,320.50x = 931,786.50 × 931,786.50
  4. Step 4: Simplify right side
    635,320.50x = 868,226,081,582.25
  5. Step 5: Solve for x
    x = 868,226,081,582.25/635,320.50
  6. Step 6: Final answer
    x = 1,366,595.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.