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Finding the Third Proportional to 147,453.75 and 316,413

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Solution

The third proportional to 147,453.75 and 316,413 is: 678,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,453.75 : 316,413 = 316,413 : x
  2. Step 2: Convert to fraction form
    147,453.75/316,413 = 316,413/x
  3. Step 3: Cross multiply
    147,453.75x = 316,413 × 316,413
  4. Step 4: Simplify right side
    147,453.75x = 100,117,186,569
  5. Step 5: Solve for x
    x = 100,117,186,569/147,453.75
  6. Step 6: Final answer
    x = 678,973.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.