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Finding the Third Proportional to 153,710 and 330,382

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Solution

The third proportional to 153,710 and 330,382 is: 710,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,710 : 330,382 = 330,382 : x
  2. Step 2: Convert to fraction form
    153,710/330,382 = 330,382/x
  3. Step 3: Cross multiply
    153,710x = 330,382 × 330,382
  4. Step 4: Simplify right side
    153,710x = 109,152,265,924
  5. Step 5: Solve for x
    x = 109,152,265,924/153,710
  6. Step 6: Final answer
    x = 710,118.18

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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.