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Finding the Third Proportional to 642,699 and 1,502,043.75

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Solution

The third proportional to 642,699 and 1,502,043.75 is: 3,510,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,699 : 1,502,043.75 = 1,502,043.75 : x
  2. Step 2: Convert to fraction form
    642,699/1,502,043.75 = 1,502,043.75/x
  3. Step 3: Cross multiply
    642,699x = 1,502,043.75 × 1,502,043.75
  4. Step 4: Simplify right side
    642,699x = 2,256,135,426,914.06
  5. Step 5: Solve for x
    x = 2,256,135,426,914.06/642,699
  6. Step 6: Final answer
    x = 3,510,407.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.