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Finding the Third Proportional to 207,838.13 and 312,680.25

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Solution

The third proportional to 207,838.13 and 312,680.25 is: 470,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,838.13 : 312,680.25 = 312,680.25 : x
  2. Step 2: Convert to fraction form
    207,838.13/312,680.25 = 312,680.25/x
  3. Step 3: Cross multiply
    207,838.13x = 312,680.25 × 312,680.25
  4. Step 4: Simplify right side
    207,838.13x = 97,768,938,740.06
  5. Step 5: Solve for x
    x = 97,768,938,740.06/207,838.13
  6. Step 6: Final answer
    x = 470,409.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.