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Finding the Third Proportional to 145,584 and 320,436

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Solution

The third proportional to 145,584 and 320,436 is: 705,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584 : 320,436 = 320,436 : x
  2. Step 2: Convert to fraction form
    145,584/320,436 = 320,436/x
  3. Step 3: Cross multiply
    145,584x = 320,436 × 320,436
  4. Step 4: Simplify right side
    145,584x = 102,679,230,096
  5. Step 5: Solve for x
    x = 102,679,230,096/145,584
  6. Step 6: Final answer
    x = 705,292.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.