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Finding the Third Proportional to 546,202.50 and 1,118,643

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Solution

The third proportional to 546,202.50 and 1,118,643 is: 2,291,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,202.50 : 1,118,643 = 1,118,643 : x
  2. Step 2: Convert to fraction form
    546,202.50/1,118,643 = 1,118,643/x
  3. Step 3: Cross multiply
    546,202.50x = 1,118,643 × 1,118,643
  4. Step 4: Simplify right side
    546,202.50x = 1,251,362,161,449
  5. Step 5: Solve for x
    x = 1,251,362,161,449/546,202.50
  6. Step 6: Final answer
    x = 2,291,022.40

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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.