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Finding the Third Proportional to 921,100 and 1,403,934

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Solution

The third proportional to 921,100 and 1,403,934 is: 2,139,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,100 : 1,403,934 = 1,403,934 : x
  2. Step 2: Convert to fraction form
    921,100/1,403,934 = 1,403,934/x
  3. Step 3: Cross multiply
    921,100x = 1,403,934 × 1,403,934
  4. Step 4: Simplify right side
    921,100x = 1,971,030,676,356
  5. Step 5: Solve for x
    x = 1,971,030,676,356/921,100
  6. Step 6: Final answer
    x = 2,139,866.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.