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Finding the Third Proportional to 390,424 and 530,340

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Solution

The third proportional to 390,424 and 530,340 is: 720,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,424 : 530,340 = 530,340 : x
  2. Step 2: Convert to fraction form
    390,424/530,340 = 530,340/x
  3. Step 3: Cross multiply
    390,424x = 530,340 × 530,340
  4. Step 4: Simplify right side
    390,424x = 281,260,515,600
  5. Step 5: Solve for x
    x = 281,260,515,600/390,424
  6. Step 6: Final answer
    x = 720,397.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.