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Finding the Third Proportional to 239,152,827 and 390,511,696.50

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Solution

The third proportional to 239,152,827 and 390,511,696.50 is: 637,664,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,152,827 : 390,511,696.50 = 390,511,696.50 : x
  2. Step 2: Convert to fraction form
    239,152,827/390,511,696.50 = 390,511,696.50/x
  3. Step 3: Cross multiply
    239,152,827x = 390,511,696.50 × 390,511,696.50
  4. Step 4: Simplify right side
    239,152,827x = 152,499,385,103,308,128
  5. Step 5: Solve for x
    x = 152,499,385,103,308,128/239,152,827
  6. Step 6: Final answer
    x = 637,664,990.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.