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Finding the Third Proportional to 1,686,657 and 2,608,803

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Solution

The third proportional to 1,686,657 and 2,608,803 is: 4,035,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,657 : 2,608,803 = 2,608,803 : x
  2. Step 2: Convert to fraction form
    1,686,657/2,608,803 = 2,608,803/x
  3. Step 3: Cross multiply
    1,686,657x = 2,608,803 × 2,608,803
  4. Step 4: Simplify right side
    1,686,657x = 6,805,853,092,809
  5. Step 5: Solve for x
    x = 6,805,853,092,809/1,686,657
  6. Step 6: Final answer
    x = 4,035,113.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.