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Finding the Third Proportional to 158,386.64 and 329,878.20

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Solution

The third proportional to 158,386.64 and 329,878.20 is: 687,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,386.64 : 329,878.20 = 329,878.20 : x
  2. Step 2: Convert to fraction form
    158,386.64/329,878.20 = 329,878.20/x
  3. Step 3: Cross multiply
    158,386.64x = 329,878.20 × 329,878.20
  4. Step 4: Simplify right side
    158,386.64x = 108,819,623,742.63
  5. Step 5: Solve for x
    x = 108,819,623,742.63/158,386.64
  6. Step 6: Final answer
    x = 687,050.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.