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Finding the Third Proportional to 687,306 and 1,437,205.50

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Solution

The third proportional to 687,306 and 1,437,205.50 is: 3,005,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,306 : 1,437,205.50 = 1,437,205.50 : x
  2. Step 2: Convert to fraction form
    687,306/1,437,205.50 = 1,437,205.50/x
  3. Step 3: Cross multiply
    687,306x = 1,437,205.50 × 1,437,205.50
  4. Step 4: Simplify right side
    687,306x = 2,065,559,649,230.25
  5. Step 5: Solve for x
    x = 2,065,559,649,230.25/687,306
  6. Step 6: Final answer
    x = 3,005,298.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.