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Finding the Third Proportional to 430,887 and 603,798

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Solution

The third proportional to 430,887 and 603,798 is: 846,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,887 : 603,798 = 603,798 : x
  2. Step 2: Convert to fraction form
    430,887/603,798 = 603,798/x
  3. Step 3: Cross multiply
    430,887x = 603,798 × 603,798
  4. Step 4: Simplify right side
    430,887x = 364,572,024,804
  5. Step 5: Solve for x
    x = 364,572,024,804/430,887
  6. Step 6: Final answer
    x = 846,096.60

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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.