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Finding the Third Proportional to 505,428 and 1,099,430

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Solution

The third proportional to 505,428 and 1,099,430 is: 2,391,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,428 : 1,099,430 = 1,099,430 : x
  2. Step 2: Convert to fraction form
    505,428/1,099,430 = 1,099,430/x
  3. Step 3: Cross multiply
    505,428x = 1,099,430 × 1,099,430
  4. Step 4: Simplify right side
    505,428x = 1,208,746,324,900
  5. Step 5: Solve for x
    x = 1,208,746,324,900/505,428
  6. Step 6: Final answer
    x = 2,391,530.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.