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Finding the Third Proportional to 145,584 and 232,419.38

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Solution

The third proportional to 145,584 and 232,419.38 is: 371,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584 : 232,419.38 = 232,419.38 : x
  2. Step 2: Convert to fraction form
    145,584/232,419.38 = 232,419.38/x
  3. Step 3: Cross multiply
    145,584x = 232,419.38 × 232,419.38
  4. Step 4: Simplify right side
    145,584x = 54,018,765,875.39
  5. Step 5: Solve for x
    x = 54,018,765,875.39/145,584
  6. Step 6: Final answer
    x = 371,048.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.