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Finding the Third Proportional to 357,246 and 552,915

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Solution

The third proportional to 357,246 and 552,915 is: 855,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,246 : 552,915 = 552,915 : x
  2. Step 2: Convert to fraction form
    357,246/552,915 = 552,915/x
  3. Step 3: Cross multiply
    357,246x = 552,915 × 552,915
  4. Step 4: Simplify right side
    357,246x = 305,714,997,225
  5. Step 5: Solve for x
    x = 305,714,997,225/357,246
  6. Step 6: Final answer
    x = 855,754.85

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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.