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Finding the Third Proportional to 505,148 and 780,240

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Solution

The third proportional to 505,148 and 780,240 is: 1,205,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,148 : 780,240 = 780,240 : x
  2. Step 2: Convert to fraction form
    505,148/780,240 = 780,240/x
  3. Step 3: Cross multiply
    505,148x = 780,240 × 780,240
  4. Step 4: Simplify right side
    505,148x = 608,774,457,600
  5. Step 5: Solve for x
    x = 608,774,457,600/505,148
  6. Step 6: Final answer
    x = 1,205,140.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.