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Finding the Third Proportional to 357,430.22 and 557,246.25

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Solution

The third proportional to 357,430.22 and 557,246.25 is: 868,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,430.22 : 557,246.25 = 557,246.25 : x
  2. Step 2: Convert to fraction form
    357,430.22/557,246.25 = 557,246.25/x
  3. Step 3: Cross multiply
    357,430.22x = 557,246.25 × 557,246.25
  4. Step 4: Simplify right side
    357,430.22x = 310,523,383,139.06
  5. Step 5: Solve for x
    x = 310,523,383,139.06/357,430.22
  6. Step 6: Final answer
    x = 868,766.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.