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Finding the Third Proportional to 640,175 and 1,398,466

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Solution

The third proportional to 640,175 and 1,398,466 is: 3,054,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,175 : 1,398,466 = 1,398,466 : x
  2. Step 2: Convert to fraction form
    640,175/1,398,466 = 1,398,466/x
  3. Step 3: Cross multiply
    640,175x = 1,398,466 × 1,398,466
  4. Step 4: Simplify right side
    640,175x = 1,955,707,153,156
  5. Step 5: Solve for x
    x = 1,955,707,153,156/640,175
  6. Step 6: Final answer
    x = 3,054,957.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.