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Finding the Third Proportional to 403,157 and 847,687

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Solution

The third proportional to 403,157 and 847,687 is: 1,782,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,157 : 847,687 = 847,687 : x
  2. Step 2: Convert to fraction form
    403,157/847,687 = 847,687/x
  3. Step 3: Cross multiply
    403,157x = 847,687 × 847,687
  4. Step 4: Simplify right side
    403,157x = 718,573,249,969
  5. Step 5: Solve for x
    x = 718,573,249,969/403,157
  6. Step 6: Final answer
    x = 1,782,365.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.