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Finding the Third Proportional to 642,994 and 1,358,887

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Solution

The third proportional to 642,994 and 1,358,887 is: 2,871,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,994 : 1,358,887 = 1,358,887 : x
  2. Step 2: Convert to fraction form
    642,994/1,358,887 = 1,358,887/x
  3. Step 3: Cross multiply
    642,994x = 1,358,887 × 1,358,887
  4. Step 4: Simplify right side
    642,994x = 1,846,573,878,769
  5. Step 5: Solve for x
    x = 1,846,573,878,769/642,994
  6. Step 6: Final answer
    x = 2,871,836.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.