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Finding the Third Proportional to 642,862.50 and 945,090.38

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Solution

The third proportional to 642,862.50 and 945,090.38 is: 1,389,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,862.50 : 945,090.38 = 945,090.38 : x
  2. Step 2: Convert to fraction form
    642,862.50/945,090.38 = 945,090.38/x
  3. Step 3: Cross multiply
    642,862.50x = 945,090.38 × 945,090.38
  4. Step 4: Simplify right side
    642,862.50x = 893,195,816,917.64
  5. Step 5: Solve for x
    x = 893,195,816,917.64/642,862.50
  6. Step 6: Final answer
    x = 1,389,404.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.