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Finding the Third Proportional to 421,316 and 901,681

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Solution

The third proportional to 421,316 and 901,681 is: 1,929,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,316 : 901,681 = 901,681 : x
  2. Step 2: Convert to fraction form
    421,316/901,681 = 901,681/x
  3. Step 3: Cross multiply
    421,316x = 901,681 × 901,681
  4. Step 4: Simplify right side
    421,316x = 813,028,625,761
  5. Step 5: Solve for x
    x = 813,028,625,761/421,316
  6. Step 6: Final answer
    x = 1,929,735.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.