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Finding the Third Proportional to 421,353 and 921,537

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Solution

The third proportional to 421,353 and 921,537 is: 2,015,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,353 : 921,537 = 921,537 : x
  2. Step 2: Convert to fraction form
    421,353/921,537 = 921,537/x
  3. Step 3: Cross multiply
    421,353x = 921,537 × 921,537
  4. Step 4: Simplify right side
    421,353x = 849,230,442,369
  5. Step 5: Solve for x
    x = 849,230,442,369/421,353
  6. Step 6: Final answer
    x = 2,015,484.50

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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.