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Finding the Third Proportional to 815,147 and 1,918,006.50

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Solution

The third proportional to 815,147 and 1,918,006.50 is: 4,512,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,147 : 1,918,006.50 = 1,918,006.50 : x
  2. Step 2: Convert to fraction form
    815,147/1,918,006.50 = 1,918,006.50/x
  3. Step 3: Cross multiply
    815,147x = 1,918,006.50 × 1,918,006.50
  4. Step 4: Simplify right side
    815,147x = 3,678,748,934,042.25
  5. Step 5: Solve for x
    x = 3,678,748,934,042.25/815,147
  6. Step 6: Final answer
    x = 4,512,988.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.