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Finding the Third Proportional to 485,410 and 759,798

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Solution

The third proportional to 485,410 and 759,798 is: 1,189,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,410 : 759,798 = 759,798 : x
  2. Step 2: Convert to fraction form
    485,410/759,798 = 759,798/x
  3. Step 3: Cross multiply
    485,410x = 759,798 × 759,798
  4. Step 4: Simplify right side
    485,410x = 577,293,000,804
  5. Step 5: Solve for x
    x = 577,293,000,804/485,410
  6. Step 6: Final answer
    x = 1,189,289.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.