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Finding the Third Proportional to 415,913 and 621,097

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Solution

The third proportional to 415,913 and 621,097 is: 927,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,913 : 621,097 = 621,097 : x
  2. Step 2: Convert to fraction form
    415,913/621,097 = 621,097/x
  3. Step 3: Cross multiply
    415,913x = 621,097 × 621,097
  4. Step 4: Simplify right side
    415,913x = 385,761,483,409
  5. Step 5: Solve for x
    x = 385,761,483,409/415,913
  6. Step 6: Final answer
    x = 927,505.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.