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Finding the Third Proportional to 586,480.50 and 890,291.25

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Solution

The third proportional to 586,480.50 and 890,291.25 is: 1,351,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,480.50 : 890,291.25 = 890,291.25 : x
  2. Step 2: Convert to fraction form
    586,480.50/890,291.25 = 890,291.25/x
  3. Step 3: Cross multiply
    586,480.50x = 890,291.25 × 890,291.25
  4. Step 4: Simplify right side
    586,480.50x = 792,618,509,826.56
  5. Step 5: Solve for x
    x = 792,618,509,826.56/586,480.50
  6. Step 6: Final answer
    x = 1,351,483.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.