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Finding the Third Proportional to 328,415 and 705,944

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Solution

The third proportional to 328,415 and 705,944 is: 1,517,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,415 : 705,944 = 705,944 : x
  2. Step 2: Convert to fraction form
    328,415/705,944 = 705,944/x
  3. Step 3: Cross multiply
    328,415x = 705,944 × 705,944
  4. Step 4: Simplify right side
    328,415x = 498,356,931,136
  5. Step 5: Solve for x
    x = 498,356,931,136/328,415
  6. Step 6: Final answer
    x = 1,517,460.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.