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Finding the Third Proportional to 415,158 and 530,490

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Solution

The third proportional to 415,158 and 530,490 is: 677,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,158 : 530,490 = 530,490 : x
  2. Step 2: Convert to fraction form
    415,158/530,490 = 530,490/x
  3. Step 3: Cross multiply
    415,158x = 530,490 × 530,490
  4. Step 4: Simplify right side
    415,158x = 281,419,640,100
  5. Step 5: Solve for x
    x = 281,419,640,100/415,158
  6. Step 6: Final answer
    x = 677,861.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.