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Finding the Third Proportional to 153,400 and 314,240

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Solution

The third proportional to 153,400 and 314,240 is: 643,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,400 : 314,240 = 314,240 : x
  2. Step 2: Convert to fraction form
    153,400/314,240 = 314,240/x
  3. Step 3: Cross multiply
    153,400x = 314,240 × 314,240
  4. Step 4: Simplify right side
    153,400x = 98,746,777,600
  5. Step 5: Solve for x
    x = 98,746,777,600/153,400
  6. Step 6: Final answer
    x = 643,720.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.