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Finding the Third Proportional to 328,444,929 and 459,185,341.50

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Solution

The third proportional to 328,444,929 and 459,185,341.50 is: 641,968,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,444,929 : 459,185,341.50 = 459,185,341.50 : x
  2. Step 2: Convert to fraction form
    328,444,929/459,185,341.50 = 459,185,341.50/x
  3. Step 3: Cross multiply
    328,444,929x = 459,185,341.50 × 459,185,341.50
  4. Step 4: Simplify right side
    328,444,929x = 210,851,177,848,471,616
  5. Step 5: Solve for x
    x = 210,851,177,848,471,616/328,444,929
  6. Step 6: Final answer
    x = 641,968,132.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.