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Finding the Third Proportional to 153,130,946 and 235,373,337

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Solution

The third proportional to 153,130,946 and 235,373,337 is: 361,785,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,130,946 : 235,373,337 = 235,373,337 : x
  2. Step 2: Convert to fraction form
    153,130,946/235,373,337 = 235,373,337/x
  3. Step 3: Cross multiply
    153,130,946x = 235,373,337 × 235,373,337
  4. Step 4: Simplify right side
    153,130,946x = 55,400,607,770,515,568
  5. Step 5: Solve for x
    x = 55,400,607,770,515,568/153,130,946
  6. Step 6: Final answer
    x = 361,785,838.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.