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Finding the Third Proportional to 513,139.50 and 778,710.38

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Solution

The third proportional to 513,139.50 and 778,710.38 is: 1,181,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,139.50 : 778,710.38 = 778,710.38 : x
  2. Step 2: Convert to fraction form
    513,139.50/778,710.38 = 778,710.38/x
  3. Step 3: Cross multiply
    513,139.50x = 778,710.38 × 778,710.38
  4. Step 4: Simplify right side
    513,139.50x = 606,389,848,132.64
  5. Step 5: Solve for x
    x = 606,389,848,132.64/513,139.50
  6. Step 6: Final answer
    x = 1,181,725.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.