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Finding the Third Proportional to 306,480 and 475,758

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Solution

The third proportional to 306,480 and 475,758 is: 738,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,480 : 475,758 = 475,758 : x
  2. Step 2: Convert to fraction form
    306,480/475,758 = 475,758/x
  3. Step 3: Cross multiply
    306,480x = 475,758 × 475,758
  4. Step 4: Simplify right side
    306,480x = 226,345,674,564
  5. Step 5: Solve for x
    x = 226,345,674,564/306,480
  6. Step 6: Final answer
    x = 738,533.26

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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.