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Finding the Third Proportional to 12,934,394 and 20,290,216

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Solution

The third proportional to 12,934,394 and 20,290,216 is: 31,829,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934,394 : 20,290,216 = 20,290,216 : x
  2. Step 2: Convert to fraction form
    12,934,394/20,290,216 = 20,290,216/x
  3. Step 3: Cross multiply
    12,934,394x = 20,290,216 × 20,290,216
  4. Step 4: Simplify right side
    12,934,394x = 411,692,865,326,656
  5. Step 5: Solve for x
    x = 411,692,865,326,656/12,934,394
  6. Step 6: Final answer
    x = 31,829,312.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.