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Finding the Third Proportional to 153,497 and 325,516

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Solution

The third proportional to 153,497 and 325,516 is: 690,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,497 : 325,516 = 325,516 : x
  2. Step 2: Convert to fraction form
    153,497/325,516 = 325,516/x
  3. Step 3: Cross multiply
    153,497x = 325,516 × 325,516
  4. Step 4: Simplify right side
    153,497x = 105,960,666,256
  5. Step 5: Solve for x
    x = 105,960,666,256/153,497
  6. Step 6: Final answer
    x = 690,310.99

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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.