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Finding the Third Proportional to 591,303 and 910,120.50

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Solution

The third proportional to 591,303 and 910,120.50 is: 1,400,837.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,303 : 910,120.50 = 910,120.50 : x
  2. Step 2: Convert to fraction form
    591,303/910,120.50 = 910,120.50/x
  3. Step 3: Cross multiply
    591,303x = 910,120.50 × 910,120.50
  4. Step 4: Simplify right side
    591,303x = 828,319,324,520.25
  5. Step 5: Solve for x
    x = 828,319,324,520.25/591,303
  6. Step 6: Final answer
    x = 1,400,837.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.