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Finding the Third Proportional to 153,350,823 and 330,085,050

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Solution

The third proportional to 153,350,823 and 330,085,050 is: 710,502,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,350,823 : 330,085,050 = 330,085,050 : x
  2. Step 2: Convert to fraction form
    153,350,823/330,085,050 = 330,085,050/x
  3. Step 3: Cross multiply
    153,350,823x = 330,085,050 × 330,085,050
  4. Step 4: Simplify right side
    153,350,823x = 108,956,140,233,502,496
  5. Step 5: Solve for x
    x = 108,956,140,233,502,496/153,350,823
  6. Step 6: Final answer
    x = 710,502,481.19

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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.