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Finding the Third Proportional to 209,723,985 and 325,627,897.50

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Solution

The third proportional to 209,723,985 and 325,627,897.50 is: 505,586,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,723,985 : 325,627,897.50 = 325,627,897.50 : x
  2. Step 2: Convert to fraction form
    209,723,985/325,627,897.50 = 325,627,897.50/x
  3. Step 3: Cross multiply
    209,723,985x = 325,627,897.50 × 325,627,897.50
  4. Step 4: Simplify right side
    209,723,985x = 106,033,527,630,270,512
  5. Step 5: Solve for x
    x = 106,033,527,630,270,512/209,723,985
  6. Step 6: Final answer
    x = 505,586,080.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.