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Finding the Third Proportional to 369,721 and 570,885

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Solution

The third proportional to 369,721 and 570,885 is: 881,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,721 : 570,885 = 570,885 : x
  2. Step 2: Convert to fraction form
    369,721/570,885 = 570,885/x
  3. Step 3: Cross multiply
    369,721x = 570,885 × 570,885
  4. Step 4: Simplify right side
    369,721x = 325,909,683,225
  5. Step 5: Solve for x
    x = 325,909,683,225/369,721
  6. Step 6: Final answer
    x = 881,501.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.