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Finding the Third Proportional to 498,127.50 and 778,297.50

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Solution

The third proportional to 498,127.50 and 778,297.50 is: 1,216,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,127.50 : 778,297.50 = 778,297.50 : x
  2. Step 2: Convert to fraction form
    498,127.50/778,297.50 = 778,297.50/x
  3. Step 3: Cross multiply
    498,127.50x = 778,297.50 × 778,297.50
  4. Step 4: Simplify right side
    498,127.50x = 605,746,998,506.25
  5. Step 5: Solve for x
    x = 605,746,998,506.25/498,127.50
  6. Step 6: Final answer
    x = 1,216,048.10

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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.