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Finding the Third Proportional to 153,396 and 358,270

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Solution

The third proportional to 153,396 and 358,270 is: 836,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,396 : 358,270 = 358,270 : x
  2. Step 2: Convert to fraction form
    153,396/358,270 = 358,270/x
  3. Step 3: Cross multiply
    153,396x = 358,270 × 358,270
  4. Step 4: Simplify right side
    153,396x = 128,357,392,900
  5. Step 5: Solve for x
    x = 128,357,392,900/153,396
  6. Step 6: Final answer
    x = 836,771.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.