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Finding the Third Proportional to 197,300 and 320,547

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Solution

The third proportional to 197,300 and 320,547 is: 520,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,300 : 320,547 = 320,547 : x
  2. Step 2: Convert to fraction form
    197,300/320,547 = 320,547/x
  3. Step 3: Cross multiply
    197,300x = 320,547 × 320,547
  4. Step 4: Simplify right side
    197,300x = 102,750,379,209
  5. Step 5: Solve for x
    x = 102,750,379,209/197,300
  6. Step 6: Final answer
    x = 520,782.46

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.