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Finding the Third Proportional to 145,397 and 313,066

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Solution

The third proportional to 145,397 and 313,066 is: 674,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,397 : 313,066 = 313,066 : x
  2. Step 2: Convert to fraction form
    145,397/313,066 = 313,066/x
  3. Step 3: Cross multiply
    145,397x = 313,066 × 313,066
  4. Step 4: Simplify right side
    145,397x = 98,010,320,356
  5. Step 5: Solve for x
    x = 98,010,320,356/145,397
  6. Step 6: Final answer
    x = 674,087.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.