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Finding the Third Proportional to 289,746 and 440,545.50

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Solution

The third proportional to 289,746 and 440,545.50 is: 669,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,746 : 440,545.50 = 440,545.50 : x
  2. Step 2: Convert to fraction form
    289,746/440,545.50 = 440,545.50/x
  3. Step 3: Cross multiply
    289,746x = 440,545.50 × 440,545.50
  4. Step 4: Simplify right side
    289,746x = 194,080,337,570.25
  5. Step 5: Solve for x
    x = 194,080,337,570.25/289,746
  6. Step 6: Final answer
    x = 669,829.22

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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.