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Finding the Third Proportional to 388,281,724 and 524,764,512

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Solution

The third proportional to 388,281,724 and 524,764,512 is: 709,221,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,281,724 : 524,764,512 = 524,764,512 : x
  2. Step 2: Convert to fraction form
    388,281,724/524,764,512 = 524,764,512/x
  3. Step 3: Cross multiply
    388,281,724x = 524,764,512 × 524,764,512
  4. Step 4: Simplify right side
    388,281,724x = 275,377,793,054,598,144
  5. Step 5: Solve for x
    x = 275,377,793,054,598,144/388,281,724
  6. Step 6: Final answer
    x = 709,221,619.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.