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Finding the Third Proportional to 356,904 and 523,440

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Solution

The third proportional to 356,904 and 523,440 is: 767,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,904 : 523,440 = 523,440 : x
  2. Step 2: Convert to fraction form
    356,904/523,440 = 523,440/x
  3. Step 3: Cross multiply
    356,904x = 523,440 × 523,440
  4. Step 4: Simplify right side
    356,904x = 273,989,433,600
  5. Step 5: Solve for x
    x = 273,989,433,600/356,904
  6. Step 6: Final answer
    x = 767,683.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.