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Finding the Third Proportional to 776,420 and 1,646,148

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Solution

The third proportional to 776,420 and 1,646,148 is: 3,490,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,420 : 1,646,148 = 1,646,148 : x
  2. Step 2: Convert to fraction form
    776,420/1,646,148 = 1,646,148/x
  3. Step 3: Cross multiply
    776,420x = 1,646,148 × 1,646,148
  4. Step 4: Simplify right side
    776,420x = 2,709,803,237,904
  5. Step 5: Solve for x
    x = 2,709,803,237,904/776,420
  6. Step 6: Final answer
    x = 3,490,125.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.