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Finding the Third Proportional to 219,921,178.50 and 322,692,489

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Solution

The third proportional to 219,921,178.50 and 322,692,489 is: 473,489,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,921,178.50 : 322,692,489 = 322,692,489 : x
  2. Step 2: Convert to fraction form
    219,921,178.50/322,692,489 = 322,692,489/x
  3. Step 3: Cross multiply
    219,921,178.50x = 322,692,489 × 322,692,489
  4. Step 4: Simplify right side
    219,921,178.50x = 104,130,442,457,015,120
  5. Step 5: Solve for x
    x = 104,130,442,457,015,120/219,921,178.50
  6. Step 6: Final answer
    x = 473,489,834.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.