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Finding the Third Proportional to 20,598,840 and 31,866,841.50

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Solution

The third proportional to 20,598,840 and 31,866,841.50 is: 49,298,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598,840 : 31,866,841.50 = 31,866,841.50 : x
  2. Step 2: Convert to fraction form
    20,598,840/31,866,841.50 = 31,866,841.50/x
  3. Step 3: Cross multiply
    20,598,840x = 31,866,841.50 × 31,866,841.50
  4. Step 4: Simplify right side
    20,598,840x = 1,015,495,587,186,122.25
  5. Step 5: Solve for x
    x = 1,015,495,587,186,122.25/20,598,840
  6. Step 6: Final answer
    x = 49,298,678.33

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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.