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Finding the Third Proportional to 420,160 and 630,552

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Solution

The third proportional to 420,160 and 630,552 is: 946,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,160 : 630,552 = 630,552 : x
  2. Step 2: Convert to fraction form
    420,160/630,552 = 630,552/x
  3. Step 3: Cross multiply
    420,160x = 630,552 × 630,552
  4. Step 4: Simplify right side
    420,160x = 397,595,824,704
  5. Step 5: Solve for x
    x = 397,595,824,704/420,160
  6. Step 6: Final answer
    x = 946,296.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.