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Finding the Third Proportional to 243,056 and 380,415

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Solution

The third proportional to 243,056 and 380,415 is: 595,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,056 : 380,415 = 380,415 : x
  2. Step 2: Convert to fraction form
    243,056/380,415 = 380,415/x
  3. Step 3: Cross multiply
    243,056x = 380,415 × 380,415
  4. Step 4: Simplify right side
    243,056x = 144,715,572,225
  5. Step 5: Solve for x
    x = 144,715,572,225/243,056
  6. Step 6: Final answer
    x = 595,400.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.