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Finding the Third Proportional to 153,140 and 324,464

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Solution

The third proportional to 153,140 and 324,464 is: 687,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,140 : 324,464 = 324,464 : x
  2. Step 2: Convert to fraction form
    153,140/324,464 = 324,464/x
  3. Step 3: Cross multiply
    153,140x = 324,464 × 324,464
  4. Step 4: Simplify right side
    153,140x = 105,276,887,296
  5. Step 5: Solve for x
    x = 105,276,887,296/153,140
  6. Step 6: Final answer
    x = 687,455.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.