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Finding the Third Proportional to 420,146 and 630,527

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Solution

The third proportional to 420,146 and 630,527 is: 946,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,146 : 630,527 = 630,527 : x
  2. Step 2: Convert to fraction form
    420,146/630,527 = 630,527/x
  3. Step 3: Cross multiply
    420,146x = 630,527 × 630,527
  4. Step 4: Simplify right side
    420,146x = 397,564,297,729
  5. Step 5: Solve for x
    x = 397,564,297,729/420,146
  6. Step 6: Final answer
    x = 946,252.73

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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.