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Finding the Third Proportional to 292,959 and 642,003.75

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Solution

The third proportional to 292,959 and 642,003.75 is: 1,406,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,959 : 642,003.75 = 642,003.75 : x
  2. Step 2: Convert to fraction form
    292,959/642,003.75 = 642,003.75/x
  3. Step 3: Cross multiply
    292,959x = 642,003.75 × 642,003.75
  4. Step 4: Simplify right side
    292,959x = 412,168,815,014.06
  5. Step 5: Solve for x
    x = 412,168,815,014.06/292,959
  6. Step 6: Final answer
    x = 1,406,916.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.