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Finding the Third Proportional to 645,759 and 1,409,541

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Solution

The third proportional to 645,759 and 1,409,541 is: 3,076,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,759 : 1,409,541 = 1,409,541 : x
  2. Step 2: Convert to fraction form
    645,759/1,409,541 = 1,409,541/x
  3. Step 3: Cross multiply
    645,759x = 1,409,541 × 1,409,541
  4. Step 4: Simplify right side
    645,759x = 1,986,805,830,681
  5. Step 5: Solve for x
    x = 1,986,805,830,681/645,759
  6. Step 6: Final answer
    x = 3,076,698.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.