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Finding the Third Proportional to 502,925 and 1,077,760

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Solution

The third proportional to 502,925 and 1,077,760 is: 2,309,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,925 : 1,077,760 = 1,077,760 : x
  2. Step 2: Convert to fraction form
    502,925/1,077,760 = 1,077,760/x
  3. Step 3: Cross multiply
    502,925x = 1,077,760 × 1,077,760
  4. Step 4: Simplify right side
    502,925x = 1,161,566,617,600
  5. Step 5: Solve for x
    x = 1,161,566,617,600/502,925
  6. Step 6: Final answer
    x = 2,309,621.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.