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Finding the Third Proportional to 642,853 and 1,368,948

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Solution

The third proportional to 642,853 and 1,368,948 is: 2,915,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,853 : 1,368,948 = 1,368,948 : x
  2. Step 2: Convert to fraction form
    642,853/1,368,948 = 1,368,948/x
  3. Step 3: Cross multiply
    642,853x = 1,368,948 × 1,368,948
  4. Step 4: Simplify right side
    642,853x = 1,874,018,626,704
  5. Step 5: Solve for x
    x = 1,874,018,626,704/642,853
  6. Step 6: Final answer
    x = 2,915,158.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.