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Finding the Third Proportional to 539,498 and 777,111

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Solution

The third proportional to 539,498 and 777,111 is: 1,119,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,498 : 777,111 = 777,111 : x
  2. Step 2: Convert to fraction form
    539,498/777,111 = 777,111/x
  3. Step 3: Cross multiply
    539,498x = 777,111 × 777,111
  4. Step 4: Simplify right side
    539,498x = 603,901,506,321
  5. Step 5: Solve for x
    x = 603,901,506,321/539,498
  6. Step 6: Final answer
    x = 1,119,376.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.