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Finding the Third Proportional to 270,490 and 414,862

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Solution

The third proportional to 270,490 and 414,862 is: 636,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,490 : 414,862 = 414,862 : x
  2. Step 2: Convert to fraction form
    270,490/414,862 = 414,862/x
  3. Step 3: Cross multiply
    270,490x = 414,862 × 414,862
  4. Step 4: Simplify right side
    270,490x = 172,110,479,044
  5. Step 5: Solve for x
    x = 172,110,479,044/270,490
  6. Step 6: Final answer
    x = 636,291.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.