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Finding the Third Proportional to 423,153 and 618,513

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Solution

The third proportional to 423,153 and 618,513 is: 904,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,153 : 618,513 = 618,513 : x
  2. Step 2: Convert to fraction form
    423,153/618,513 = 618,513/x
  3. Step 3: Cross multiply
    423,153x = 618,513 × 618,513
  4. Step 4: Simplify right side
    423,153x = 382,558,331,169
  5. Step 5: Solve for x
    x = 382,558,331,169/423,153
  6. Step 6: Final answer
    x = 904,066.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.