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Finding the Third Proportional to 545,220 and 1,117,629

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Solution

The third proportional to 545,220 and 1,117,629 is: 2,290,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,220 : 1,117,629 = 1,117,629 : x
  2. Step 2: Convert to fraction form
    545,220/1,117,629 = 1,117,629/x
  3. Step 3: Cross multiply
    545,220x = 1,117,629 × 1,117,629
  4. Step 4: Simplify right side
    545,220x = 1,249,094,581,641
  5. Step 5: Solve for x
    x = 1,249,094,581,641/545,220
  6. Step 6: Final answer
    x = 2,290,991.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.