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Finding the Third Proportional to 546,579 and 1,200,767.63

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Solution

The third proportional to 546,579 and 1,200,767.63 is: 2,637,940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,579 : 1,200,767.63 = 1,200,767.63 : x
  2. Step 2: Convert to fraction form
    546,579/1,200,767.63 = 1,200,767.63/x
  3. Step 3: Cross multiply
    546,579x = 1,200,767.63 × 1,200,767.63
  4. Step 4: Simplify right side
    546,579x = 1,441,842,889,248.14
  5. Step 5: Solve for x
    x = 1,441,842,889,248.14/546,579
  6. Step 6: Final answer
    x = 2,637,940.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.