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Finding the Third Proportional to 503,703 and 760,405.50

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Solution

The third proportional to 503,703 and 760,405.50 is: 1,147,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,703 : 760,405.50 = 760,405.50 : x
  2. Step 2: Convert to fraction form
    503,703/760,405.50 = 760,405.50/x
  3. Step 3: Cross multiply
    503,703x = 760,405.50 × 760,405.50
  4. Step 4: Simplify right side
    503,703x = 578,216,524,430.25
  5. Step 5: Solve for x
    x = 578,216,524,430.25/503,703
  6. Step 6: Final answer
    x = 1,147,931.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.