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Finding the Third Proportional to 304,080 and 470,880

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Solution

The third proportional to 304,080 and 470,880 is: 729,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,080 : 470,880 = 470,880 : x
  2. Step 2: Convert to fraction form
    304,080/470,880 = 470,880/x
  3. Step 3: Cross multiply
    304,080x = 470,880 × 470,880
  4. Step 4: Simplify right side
    304,080x = 221,727,974,400
  5. Step 5: Solve for x
    x = 221,727,974,400/304,080
  6. Step 6: Final answer
    x = 729,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.