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Finding the Third Proportional to 153,070 and 335,678

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Solution

The third proportional to 153,070 and 335,678 is: 736,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,070 : 335,678 = 335,678 : x
  2. Step 2: Convert to fraction form
    153,070/335,678 = 335,678/x
  3. Step 3: Cross multiply
    153,070x = 335,678 × 335,678
  4. Step 4: Simplify right side
    153,070x = 112,679,719,684
  5. Step 5: Solve for x
    x = 112,679,719,684/153,070
  6. Step 6: Final answer
    x = 736,131.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.