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Finding the Third Proportional to 630,620 and 1,475,138

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Solution

The third proportional to 630,620 and 1,475,138 is: 3,450,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,620 : 1,475,138 = 1,475,138 : x
  2. Step 2: Convert to fraction form
    630,620/1,475,138 = 1,475,138/x
  3. Step 3: Cross multiply
    630,620x = 1,475,138 × 1,475,138
  4. Step 4: Simplify right side
    630,620x = 2,176,032,119,044
  5. Step 5: Solve for x
    x = 2,176,032,119,044/630,620
  6. Step 6: Final answer
    x = 3,450,623.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.