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Finding the Third Proportional to 400,572 and 623,835

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Solution

The third proportional to 400,572 and 623,835 is: 971,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,572 : 623,835 = 623,835 : x
  2. Step 2: Convert to fraction form
    400,572/623,835 = 623,835/x
  3. Step 3: Cross multiply
    400,572x = 623,835 × 623,835
  4. Step 4: Simplify right side
    400,572x = 389,170,107,225
  5. Step 5: Solve for x
    x = 389,170,107,225/400,572
  6. Step 6: Final answer
    x = 971,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.