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Finding the Third Proportional to 242,152 and 478,120

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Solution

The third proportional to 242,152 and 478,120 is: 944,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,152 : 478,120 = 478,120 : x
  2. Step 2: Convert to fraction form
    242,152/478,120 = 478,120/x
  3. Step 3: Cross multiply
    242,152x = 478,120 × 478,120
  4. Step 4: Simplify right side
    242,152x = 228,598,734,400
  5. Step 5: Solve for x
    x = 228,598,734,400/242,152
  6. Step 6: Final answer
    x = 944,029.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.