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Finding the Third Proportional to 153,152 and 324,488

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Solution

The third proportional to 153,152 and 324,488 is: 687,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,152 : 324,488 = 324,488 : x
  2. Step 2: Convert to fraction form
    153,152/324,488 = 324,488/x
  3. Step 3: Cross multiply
    153,152x = 324,488 × 324,488
  4. Step 4: Simplify right side
    153,152x = 105,292,462,144
  5. Step 5: Solve for x
    x = 105,292,462,144/153,152
  6. Step 6: Final answer
    x = 687,503.02

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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.