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Finding the Third Proportional to 430,830 and 603,730

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Solution

The third proportional to 430,830 and 603,730 is: 846,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,830 : 603,730 = 603,730 : x
  2. Step 2: Convert to fraction form
    430,830/603,730 = 603,730/x
  3. Step 3: Cross multiply
    430,830x = 603,730 × 603,730
  4. Step 4: Simplify right side
    430,830x = 364,489,912,900
  5. Step 5: Solve for x
    x = 364,489,912,900/430,830
  6. Step 6: Final answer
    x = 846,017.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.