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Finding the Third Proportional to 518,495 and 1,072,955

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Solution

The third proportional to 518,495 and 1,072,955 is: 2,220,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,495 : 1,072,955 = 1,072,955 : x
  2. Step 2: Convert to fraction form
    518,495/1,072,955 = 1,072,955/x
  3. Step 3: Cross multiply
    518,495x = 1,072,955 × 1,072,955
  4. Step 4: Simplify right side
    518,495x = 1,151,232,432,025
  5. Step 5: Solve for x
    x = 1,151,232,432,025/518,495
  6. Step 6: Final answer
    x = 2,220,334.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.