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Finding the Third Proportional to 581,192 and 880,480

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Solution

The third proportional to 581,192 and 880,480 is: 1,333,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,192 : 880,480 = 880,480 : x
  2. Step 2: Convert to fraction form
    581,192/880,480 = 880,480/x
  3. Step 3: Cross multiply
    581,192x = 880,480 × 880,480
  4. Step 4: Simplify right side
    581,192x = 775,245,030,400
  5. Step 5: Solve for x
    x = 775,245,030,400/581,192
  6. Step 6: Final answer
    x = 1,333,887.99

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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.