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Finding the Third Proportional to 450,102 and 977,478

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Solution

The third proportional to 450,102 and 977,478 is: 2,122,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,102 : 977,478 = 977,478 : x
  2. Step 2: Convert to fraction form
    450,102/977,478 = 977,478/x
  3. Step 3: Cross multiply
    450,102x = 977,478 × 977,478
  4. Step 4: Simplify right side
    450,102x = 955,463,240,484
  5. Step 5: Solve for x
    x = 955,463,240,484/450,102
  6. Step 6: Final answer
    x = 2,122,770.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.