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Finding the Third Proportional to 153,371 and 314,178

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Solution

The third proportional to 153,371 and 314,178 is: 643,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,371 : 314,178 = 314,178 : x
  2. Step 2: Convert to fraction form
    153,371/314,178 = 314,178/x
  3. Step 3: Cross multiply
    153,371x = 314,178 × 314,178
  4. Step 4: Simplify right side
    153,371x = 98,707,815,684
  5. Step 5: Solve for x
    x = 98,707,815,684/153,371
  6. Step 6: Final answer
    x = 643,588.53

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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.