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Finding the Third Proportional to 254,062,468 and 388,395,657

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Solution

The third proportional to 254,062,468 and 388,395,657 is: 593,756,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,062,468 : 388,395,657 = 388,395,657 : x
  2. Step 2: Convert to fraction form
    254,062,468/388,395,657 = 388,395,657/x
  3. Step 3: Cross multiply
    254,062,468x = 388,395,657 × 388,395,657
  4. Step 4: Simplify right side
    254,062,468x = 150,851,186,376,461,664
  5. Step 5: Solve for x
    x = 150,851,186,376,461,664/254,062,468
  6. Step 6: Final answer
    x = 593,756,281.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.