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Finding the Third Proportional to 147,604 and 320,000

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Solution

The third proportional to 147,604 and 320,000 is: 693,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,604 : 320,000 = 320,000 : x
  2. Step 2: Convert to fraction form
    147,604/320,000 = 320,000/x
  3. Step 3: Cross multiply
    147,604x = 320,000 × 320,000
  4. Step 4: Simplify right side
    147,604x = 102,400,000,000
  5. Step 5: Solve for x
    x = 102,400,000,000/147,604
  6. Step 6: Final answer
    x = 693,748.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.