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Finding the Third Proportional to 19,294,155 and 30,712,432.50

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Solution

The third proportional to 19,294,155 and 30,712,432.50 is: 48,888,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294,155 : 30,712,432.50 = 30,712,432.50 : x
  2. Step 2: Convert to fraction form
    19,294,155/30,712,432.50 = 30,712,432.50/x
  3. Step 3: Cross multiply
    19,294,155x = 30,712,432.50 × 30,712,432.50
  4. Step 4: Simplify right side
    19,294,155x = 943,253,510,067,056.25
  5. Step 5: Solve for x
    x = 943,253,510,067,056.25/19,294,155
  6. Step 6: Final answer
    x = 48,888,044.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.