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Finding the Third Proportional to 430,488 and 849,936

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Solution

The third proportional to 430,488 and 849,936 is: 1,678,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,488 : 849,936 = 849,936 : x
  2. Step 2: Convert to fraction form
    430,488/849,936 = 849,936/x
  3. Step 3: Cross multiply
    430,488x = 849,936 × 849,936
  4. Step 4: Simplify right side
    430,488x = 722,391,204,096
  5. Step 5: Solve for x
    x = 722,391,204,096/430,488
  6. Step 6: Final answer
    x = 1,678,075.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.