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Finding the Third Proportional to 816,128 and 1,266,768

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Solution

The third proportional to 816,128 and 1,266,768 is: 1,966,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,128 : 1,266,768 = 1,266,768 : x
  2. Step 2: Convert to fraction form
    816,128/1,266,768 = 1,266,768/x
  3. Step 3: Cross multiply
    816,128x = 1,266,768 × 1,266,768
  4. Step 4: Simplify right side
    816,128x = 1,604,701,165,824
  5. Step 5: Solve for x
    x = 1,604,701,165,824/816,128
  6. Step 6: Final answer
    x = 1,966,237.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.