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Finding the Third Proportional to 498,140 and 778,318

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Solution

The third proportional to 498,140 and 778,318 is: 1,216,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,140 : 778,318 = 778,318 : x
  2. Step 2: Convert to fraction form
    498,140/778,318 = 778,318/x
  3. Step 3: Cross multiply
    498,140x = 778,318 × 778,318
  4. Step 4: Simplify right side
    498,140x = 605,778,909,124
  5. Step 5: Solve for x
    x = 605,778,909,124/498,140
  6. Step 6: Final answer
    x = 1,216,081.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.