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Finding the Third Proportional to 426,202 and 647,078

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Solution

The third proportional to 426,202 and 647,078 is: 982,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,202 : 647,078 = 647,078 : x
  2. Step 2: Convert to fraction form
    426,202/647,078 = 647,078/x
  3. Step 3: Cross multiply
    426,202x = 647,078 × 647,078
  4. Step 4: Simplify right side
    426,202x = 418,709,938,084
  5. Step 5: Solve for x
    x = 418,709,938,084/426,202
  6. Step 6: Final answer
    x = 982,421.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.