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Finding the Third Proportional to 207,240 and 314,910

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Solution

The third proportional to 207,240 and 314,910 is: 478,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,240 : 314,910 = 314,910 : x
  2. Step 2: Convert to fraction form
    207,240/314,910 = 314,910/x
  3. Step 3: Cross multiply
    207,240x = 314,910 × 314,910
  4. Step 4: Simplify right side
    207,240x = 99,168,308,100
  5. Step 5: Solve for x
    x = 99,168,308,100/207,240
  6. Step 6: Final answer
    x = 478,519.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.