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Finding the Third Proportional to 644,803.50 and 997,459.50

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Solution

The third proportional to 644,803.50 and 997,459.50 is: 1,542,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,803.50 : 997,459.50 = 997,459.50 : x
  2. Step 2: Convert to fraction form
    644,803.50/997,459.50 = 997,459.50/x
  3. Step 3: Cross multiply
    644,803.50x = 997,459.50 × 997,459.50
  4. Step 4: Simplify right side
    644,803.50x = 994,925,454,140.25
  5. Step 5: Solve for x
    x = 994,925,454,140.25/644,803.50
  6. Step 6: Final answer
    x = 1,542,990.16

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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.