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Finding the Third Proportional to 503,970.19 and 780,331.22

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Solution

The third proportional to 503,970.19 and 780,331.22 is: 1,208,239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,970.19 : 780,331.22 = 780,331.22 : x
  2. Step 2: Convert to fraction form
    503,970.19/780,331.22 = 780,331.22/x
  3. Step 3: Cross multiply
    503,970.19x = 780,331.22 × 780,331.22
  4. Step 4: Simplify right side
    503,970.19x = 608,916,810,955.86
  5. Step 5: Solve for x
    x = 608,916,810,955.86/503,970.19
  6. Step 6: Final answer
    x = 1,208,239.75

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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.