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Finding the Third Proportional to 153,440,256 and 328,645,536

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Solution

The third proportional to 153,440,256 and 328,645,536 is: 703,908,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,440,256 : 328,645,536 = 328,645,536 : x
  2. Step 2: Convert to fraction form
    153,440,256/328,645,536 = 328,645,536/x
  3. Step 3: Cross multiply
    153,440,256x = 328,645,536 × 328,645,536
  4. Step 4: Simplify right side
    153,440,256x = 108,007,888,332,727,296
  5. Step 5: Solve for x
    x = 108,007,888,332,727,296/153,440,256
  6. Step 6: Final answer
    x = 703,908,421.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.