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Finding the Third Proportional to 357,565 and 783,413

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Solution

The third proportional to 357,565 and 783,413 is: 1,716,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,565 : 783,413 = 783,413 : x
  2. Step 2: Convert to fraction form
    357,565/783,413 = 783,413/x
  3. Step 3: Cross multiply
    357,565x = 783,413 × 783,413
  4. Step 4: Simplify right side
    357,565x = 613,735,928,569
  5. Step 5: Solve for x
    x = 613,735,928,569/357,565
  6. Step 6: Final answer
    x = 1,716,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.