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Finding the Third Proportional to 245,376 and 529,415

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Solution

The third proportional to 245,376 and 529,415 is: 1,142,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,376 : 529,415 = 529,415 : x
  2. Step 2: Convert to fraction form
    245,376/529,415 = 529,415/x
  3. Step 3: Cross multiply
    245,376x = 529,415 × 529,415
  4. Step 4: Simplify right side
    245,376x = 280,280,242,225
  5. Step 5: Solve for x
    x = 280,280,242,225/245,376
  6. Step 6: Final answer
    x = 1,142,247.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.