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Finding the Third Proportional to 545,038 and 780,188

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Solution

The third proportional to 545,038 and 780,188 is: 1,116,790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,038 : 780,188 = 780,188 : x
  2. Step 2: Convert to fraction form
    545,038/780,188 = 780,188/x
  3. Step 3: Cross multiply
    545,038x = 780,188 × 780,188
  4. Step 4: Simplify right side
    545,038x = 608,693,315,344
  5. Step 5: Solve for x
    x = 608,693,315,344/545,038
  6. Step 6: Final answer
    x = 1,116,790.60

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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.