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Finding the Third Proportional to 469,147.50 and 776,511

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Solution

The third proportional to 469,147.50 and 776,511 is: 1,285,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,147.50 : 776,511 = 776,511 : x
  2. Step 2: Convert to fraction form
    469,147.50/776,511 = 776,511/x
  3. Step 3: Cross multiply
    469,147.50x = 776,511 × 776,511
  4. Step 4: Simplify right side
    469,147.50x = 602,969,333,121
  5. Step 5: Solve for x
    x = 602,969,333,121/469,147.50
  6. Step 6: Final answer
    x = 1,285,244.69

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.