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Finding the Third Proportional to 153,513 and 330,354

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Solution

The third proportional to 153,513 and 330,354 is: 710,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,513 : 330,354 = 330,354 : x
  2. Step 2: Convert to fraction form
    153,513/330,354 = 330,354/x
  3. Step 3: Cross multiply
    153,513x = 330,354 × 330,354
  4. Step 4: Simplify right side
    153,513x = 109,133,765,316
  5. Step 5: Solve for x
    x = 109,133,765,316/153,513
  6. Step 6: Final answer
    x = 710,908.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.