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Finding the Third Proportional to 377,580 and 571,855

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Solution

The third proportional to 377,580 and 571,855 is: 866,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,580 : 571,855 = 571,855 : x
  2. Step 2: Convert to fraction form
    377,580/571,855 = 571,855/x
  3. Step 3: Cross multiply
    377,580x = 571,855 × 571,855
  4. Step 4: Simplify right side
    377,580x = 327,018,141,025
  5. Step 5: Solve for x
    x = 327,018,141,025/377,580
  6. Step 6: Final answer
    x = 866,089.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.