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Finding the Third Proportional to 147,798 and 317,770

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Solution

The third proportional to 147,798 and 317,770 is: 683,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,798 : 317,770 = 317,770 : x
  2. Step 2: Convert to fraction form
    147,798/317,770 = 317,770/x
  3. Step 3: Cross multiply
    147,798x = 317,770 × 317,770
  4. Step 4: Simplify right side
    147,798x = 100,977,772,900
  5. Step 5: Solve for x
    x = 100,977,772,900/147,798
  6. Step 6: Final answer
    x = 683,214.75

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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.