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Finding the Third Proportional to 408,213,143 and 630,369,025

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Solution

The third proportional to 408,213,143 and 630,369,025 is: 973,425,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,213,143 : 630,369,025 = 630,369,025 : x
  2. Step 2: Convert to fraction form
    408,213,143/630,369,025 = 630,369,025/x
  3. Step 3: Cross multiply
    408,213,143x = 630,369,025 × 630,369,025
  4. Step 4: Simplify right side
    408,213,143x = 397,365,107,679,450,624
  5. Step 5: Solve for x
    x = 397,365,107,679,450,624/408,213,143
  6. Step 6: Final answer
    x = 973,425,560.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.