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Finding the Third Proportional to 143,546 and 314,306

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Solution

The third proportional to 143,546 and 314,306 is: 688,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,546 : 314,306 = 314,306 : x
  2. Step 2: Convert to fraction form
    143,546/314,306 = 314,306/x
  3. Step 3: Cross multiply
    143,546x = 314,306 × 314,306
  4. Step 4: Simplify right side
    143,546x = 98,788,261,636
  5. Step 5: Solve for x
    x = 98,788,261,636/143,546
  6. Step 6: Final answer
    x = 688,199.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.