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Finding the Third Proportional to 455,321 and 657,807

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Solution

The third proportional to 455,321 and 657,807 is: 950,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,321 : 657,807 = 657,807 : x
  2. Step 2: Convert to fraction form
    455,321/657,807 = 657,807/x
  3. Step 3: Cross multiply
    455,321x = 657,807 × 657,807
  4. Step 4: Simplify right side
    455,321x = 432,710,049,249
  5. Step 5: Solve for x
    x = 432,710,049,249/455,321
  6. Step 6: Final answer
    x = 950,340.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.