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Finding the Third Proportional to 303,657 and 644,674.50

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Solution

The third proportional to 303,657 and 644,674.50 is: 1,368,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,657 : 644,674.50 = 644,674.50 : x
  2. Step 2: Convert to fraction form
    303,657/644,674.50 = 644,674.50/x
  3. Step 3: Cross multiply
    303,657x = 644,674.50 × 644,674.50
  4. Step 4: Simplify right side
    303,657x = 415,605,210,950.25
  5. Step 5: Solve for x
    x = 415,605,210,950.25/303,657
  6. Step 6: Final answer
    x = 1,368,666.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.