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Finding the Third Proportional to 488,534 and 777,135

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Solution

The third proportional to 488,534 and 777,135 is: 1,236,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,534 : 777,135 = 777,135 : x
  2. Step 2: Convert to fraction form
    488,534/777,135 = 777,135/x
  3. Step 3: Cross multiply
    488,534x = 777,135 × 777,135
  4. Step 4: Simplify right side
    488,534x = 603,938,808,225
  5. Step 5: Solve for x
    x = 603,938,808,225/488,534
  6. Step 6: Final answer
    x = 1,236,226.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.