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Finding the Third Proportional to 152,937 and 330,480

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Solution

The third proportional to 152,937 and 330,480 is: 714,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,937 : 330,480 = 330,480 : x
  2. Step 2: Convert to fraction form
    152,937/330,480 = 330,480/x
  3. Step 3: Cross multiply
    152,937x = 330,480 × 330,480
  4. Step 4: Simplify right side
    152,937x = 109,217,030,400
  5. Step 5: Solve for x
    x = 109,217,030,400/152,937
  6. Step 6: Final answer
    x = 714,130.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.