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Finding the Third Proportional to 30,333,840 and 64,919,209.50

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Solution

The third proportional to 30,333,840 and 64,919,209.50 is: 138,937,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,333,840 : 64,919,209.50 = 64,919,209.50 : x
  2. Step 2: Convert to fraction form
    30,333,840/64,919,209.50 = 64,919,209.50/x
  3. Step 3: Cross multiply
    30,333,840x = 64,919,209.50 × 64,919,209.50
  4. Step 4: Simplify right side
    30,333,840x = 4,214,503,762,104,890
  5. Step 5: Solve for x
    x = 4,214,503,762,104,890/30,333,840
  6. Step 6: Final answer
    x = 138,937,363.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.