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Finding the Third Proportional to 147,213 and 317,943

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Solution

The third proportional to 147,213 and 317,943 is: 686,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,213 : 317,943 = 317,943 : x
  2. Step 2: Convert to fraction form
    147,213/317,943 = 317,943/x
  3. Step 3: Cross multiply
    147,213x = 317,943 × 317,943
  4. Step 4: Simplify right side
    147,213x = 101,087,751,249
  5. Step 5: Solve for x
    x = 101,087,751,249/147,213
  6. Step 6: Final answer
    x = 686,676.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.