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Finding the Third Proportional to 776,428 and 1,646,168

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Solution

The third proportional to 776,428 and 1,646,168 is: 3,490,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,428 : 1,646,168 = 1,646,168 : x
  2. Step 2: Convert to fraction form
    776,428/1,646,168 = 1,646,168/x
  3. Step 3: Cross multiply
    776,428x = 1,646,168 × 1,646,168
  4. Step 4: Simplify right side
    776,428x = 2,709,869,084,224
  5. Step 5: Solve for x
    x = 2,709,869,084,224/776,428
  6. Step 6: Final answer
    x = 3,490,174.34

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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.