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Finding the Third Proportional to 470,379 and 709,888.50

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Solution

The third proportional to 470,379 and 709,888.50 is: 1,071,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,379 : 709,888.50 = 709,888.50 : x
  2. Step 2: Convert to fraction form
    470,379/709,888.50 = 709,888.50/x
  3. Step 3: Cross multiply
    470,379x = 709,888.50 × 709,888.50
  4. Step 4: Simplify right side
    470,379x = 503,941,682,432.25
  5. Step 5: Solve for x
    x = 503,941,682,432.25/470,379
  6. Step 6: Final answer
    x = 1,071,352.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.