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Finding the Third Proportional to 403,820 and 849,480

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Solution

The third proportional to 403,820 and 849,480 is: 1,786,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,820 : 849,480 = 849,480 : x
  2. Step 2: Convert to fraction form
    403,820/849,480 = 849,480/x
  3. Step 3: Cross multiply
    403,820x = 849,480 × 849,480
  4. Step 4: Simplify right side
    403,820x = 721,616,270,400
  5. Step 5: Solve for x
    x = 721,616,270,400/403,820
  6. Step 6: Final answer
    x = 1,786,975.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.