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Finding the Third Proportional to 455,791 and 977,807

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Solution

The third proportional to 455,791 and 977,807 is: 2,097,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,791 : 977,807 = 977,807 : x
  2. Step 2: Convert to fraction form
    455,791/977,807 = 977,807/x
  3. Step 3: Cross multiply
    455,791x = 977,807 × 977,807
  4. Step 4: Simplify right side
    455,791x = 956,106,529,249
  5. Step 5: Solve for x
    x = 956,106,529,249/455,791
  6. Step 6: Final answer
    x = 2,097,686.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.