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Finding the Third Proportional to 484,092 and 710,586

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Solution

The third proportional to 484,092 and 710,586 is: 1,043,050.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,092 : 710,586 = 710,586 : x
  2. Step 2: Convert to fraction form
    484,092/710,586 = 710,586/x
  3. Step 3: Cross multiply
    484,092x = 710,586 × 710,586
  4. Step 4: Simplify right side
    484,092x = 504,932,463,396
  5. Step 5: Solve for x
    x = 504,932,463,396/484,092
  6. Step 6: Final answer
    x = 1,043,050.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.