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Finding the Third Proportional to 503,583.75 and 780,904.13

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Solution

The third proportional to 503,583.75 and 780,904.13 is: 1,210,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,583.75 : 780,904.13 = 780,904.13 : x
  2. Step 2: Convert to fraction form
    503,583.75/780,904.13 = 780,904.13/x
  3. Step 3: Cross multiply
    503,583.75x = 780,904.13 × 780,904.13
  4. Step 4: Simplify right side
    503,583.75x = 609,811,252,442.02
  5. Step 5: Solve for x
    x = 609,811,252,442.02/503,583.75
  6. Step 6: Final answer
    x = 1,210,943.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.