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Finding the Third Proportional to 430,272 and 945,468

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Solution

The third proportional to 430,272 and 945,468 is: 2,077,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,272 : 945,468 = 945,468 : x
  2. Step 2: Convert to fraction form
    430,272/945,468 = 945,468/x
  3. Step 3: Cross multiply
    430,272x = 945,468 × 945,468
  4. Step 4: Simplify right side
    430,272x = 893,909,739,024
  5. Step 5: Solve for x
    x = 893,909,739,024/430,272
  6. Step 6: Final answer
    x = 2,077,545.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.