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Finding the Third Proportional to 488,759 and 777,364

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Solution

The third proportional to 488,759 and 777,364 is: 1,236,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,759 : 777,364 = 777,364 : x
  2. Step 2: Convert to fraction form
    488,759/777,364 = 777,364/x
  3. Step 3: Cross multiply
    488,759x = 777,364 × 777,364
  4. Step 4: Simplify right side
    488,759x = 604,294,788,496
  5. Step 5: Solve for x
    x = 604,294,788,496/488,759
  6. Step 6: Final answer
    x = 1,236,386.01

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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.