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Finding the Third Proportional to 476,109 and 631,867.50

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Solution

The third proportional to 476,109 and 631,867.50 is: 838,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,109 : 631,867.50 = 631,867.50 : x
  2. Step 2: Convert to fraction form
    476,109/631,867.50 = 631,867.50/x
  3. Step 3: Cross multiply
    476,109x = 631,867.50 × 631,867.50
  4. Step 4: Simplify right side
    476,109x = 399,256,537,556.25
  5. Step 5: Solve for x
    x = 399,256,537,556.25/476,109
  6. Step 6: Final answer
    x = 838,582.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.