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Finding the Third Proportional to 419,740 and 899,365

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Solution

The third proportional to 419,740 and 899,365 is: 1,927,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,740 : 899,365 = 899,365 : x
  2. Step 2: Convert to fraction form
    419,740/899,365 = 899,365/x
  3. Step 3: Cross multiply
    419,740x = 899,365 × 899,365
  4. Step 4: Simplify right side
    419,740x = 808,857,403,225
  5. Step 5: Solve for x
    x = 808,857,403,225/419,740
  6. Step 6: Final answer
    x = 1,927,043.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.