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Finding the Third Proportional to 252,402 and 376,415

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Solution

The third proportional to 252,402 and 376,415 is: 561,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,402 : 376,415 = 376,415 : x
  2. Step 2: Convert to fraction form
    252,402/376,415 = 376,415/x
  3. Step 3: Cross multiply
    252,402x = 376,415 × 376,415
  4. Step 4: Simplify right side
    252,402x = 141,688,252,225
  5. Step 5: Solve for x
    x = 141,688,252,225/252,402
  6. Step 6: Final answer
    x = 561,359.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.