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Finding the Third Proportional to 429,628,148 and 636,386,772

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Solution

The third proportional to 429,628,148 and 636,386,772 is: 942,648,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,628,148 : 636,386,772 = 636,386,772 : x
  2. Step 2: Convert to fraction form
    429,628,148/636,386,772 = 636,386,772/x
  3. Step 3: Cross multiply
    429,628,148x = 636,386,772 × 636,386,772
  4. Step 4: Simplify right side
    429,628,148x = 404,988,123,576,579,968
  5. Step 5: Solve for x
    x = 404,988,123,576,579,968/429,628,148
  6. Step 6: Final answer
    x = 942,648,021.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.