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Finding the Third Proportional to 296,948 and 478,106

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Solution

The third proportional to 296,948 and 478,106 is: 769,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,948 : 478,106 = 478,106 : x
  2. Step 2: Convert to fraction form
    296,948/478,106 = 478,106/x
  3. Step 3: Cross multiply
    296,948x = 478,106 × 478,106
  4. Step 4: Simplify right side
    296,948x = 228,585,347,236
  5. Step 5: Solve for x
    x = 228,585,347,236/296,948
  6. Step 6: Final answer
    x = 769,782.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.