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Finding the Third Proportional to 545,043 and 780,195

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Solution

The third proportional to 545,043 and 780,195 is: 1,116,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,043 : 780,195 = 780,195 : x
  2. Step 2: Convert to fraction form
    545,043/780,195 = 780,195/x
  3. Step 3: Cross multiply
    545,043x = 780,195 × 780,195
  4. Step 4: Simplify right side
    545,043x = 608,704,238,025
  5. Step 5: Solve for x
    x = 608,704,238,025/545,043
  6. Step 6: Final answer
    x = 1,116,800.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.