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Finding the Third Proportional to 306,060 and 410,490

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Solution

The third proportional to 306,060 and 410,490 is: 550,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,060 : 410,490 = 410,490 : x
  2. Step 2: Convert to fraction form
    306,060/410,490 = 410,490/x
  3. Step 3: Cross multiply
    306,060x = 410,490 × 410,490
  4. Step 4: Simplify right side
    306,060x = 168,502,040,100
  5. Step 5: Solve for x
    x = 168,502,040,100/306,060
  6. Step 6: Final answer
    x = 550,552.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.