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Finding the Third Proportional to 430,324 and 909,900

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Solution

The third proportional to 430,324 and 909,900 is: 1,923,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,324 : 909,900 = 909,900 : x
  2. Step 2: Convert to fraction form
    430,324/909,900 = 909,900/x
  3. Step 3: Cross multiply
    430,324x = 909,900 × 909,900
  4. Step 4: Simplify right side
    430,324x = 827,918,010,000
  5. Step 5: Solve for x
    x = 827,918,010,000/430,324
  6. Step 6: Final answer
    x = 1,923,941.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.