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Finding the Third Proportional to 780,417 and 1,686,213

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Solution

The third proportional to 780,417 and 1,686,213 is: 3,643,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,417 : 1,686,213 = 1,686,213 : x
  2. Step 2: Convert to fraction form
    780,417/1,686,213 = 1,686,213/x
  3. Step 3: Cross multiply
    780,417x = 1,686,213 × 1,686,213
  4. Step 4: Simplify right side
    780,417x = 2,843,314,281,369
  5. Step 5: Solve for x
    x = 2,843,314,281,369/780,417
  6. Step 6: Final answer
    x = 3,643,326.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.