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Finding the Third Proportional to 12,983,215 and 20,209,582.50

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Solution

The third proportional to 12,983,215 and 20,209,582.50 is: 31,458,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983,215 : 20,209,582.50 = 20,209,582.50 : x
  2. Step 2: Convert to fraction form
    12,983,215/20,209,582.50 = 20,209,582.50/x
  3. Step 3: Cross multiply
    12,983,215x = 20,209,582.50 × 20,209,582.50
  4. Step 4: Simplify right side
    12,983,215x = 408,427,224,824,306.25
  5. Step 5: Solve for x
    x = 408,427,224,824,306.25/12,983,215
  6. Step 6: Final answer
    x = 31,458,096.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.