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Finding the Third Proportional to 455,541 and 707,187

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Solution

The third proportional to 455,541 and 707,187 is: 1,097,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,541 : 707,187 = 707,187 : x
  2. Step 2: Convert to fraction form
    455,541/707,187 = 707,187/x
  3. Step 3: Cross multiply
    455,541x = 707,187 × 707,187
  4. Step 4: Simplify right side
    455,541x = 500,113,452,969
  5. Step 5: Solve for x
    x = 500,113,452,969/455,541
  6. Step 6: Final answer
    x = 1,097,845.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.