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Finding the Third Proportional to 420,554.50 and 604,515.50

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Solution

The third proportional to 420,554.50 and 604,515.50 is: 868,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,554.50 : 604,515.50 = 604,515.50 : x
  2. Step 2: Convert to fraction form
    420,554.50/604,515.50 = 604,515.50/x
  3. Step 3: Cross multiply
    420,554.50x = 604,515.50 × 604,515.50
  4. Step 4: Simplify right side
    420,554.50x = 365,438,989,740.25
  5. Step 5: Solve for x
    x = 365,438,989,740.25/420,554.50
  6. Step 6: Final answer
    x = 868,945.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.