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Finding the Third Proportional to 420,403.50 and 651,260.25

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Solution

The third proportional to 420,403.50 and 651,260.25 is: 1,008,887.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,403.50 : 651,260.25 = 651,260.25 : x
  2. Step 2: Convert to fraction form
    420,403.50/651,260.25 = 651,260.25/x
  3. Step 3: Cross multiply
    420,403.50x = 651,260.25 × 651,260.25
  4. Step 4: Simplify right side
    420,403.50x = 424,139,913,230.06
  5. Step 5: Solve for x
    x = 424,139,913,230.06/420,403.50
  6. Step 6: Final answer
    x = 1,008,887.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.