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Finding the Third Proportional to 290,007 and 423,877.50

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Solution

The third proportional to 290,007 and 423,877.50 is: 619,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,007 : 423,877.50 = 423,877.50 : x
  2. Step 2: Convert to fraction form
    290,007/423,877.50 = 423,877.50/x
  3. Step 3: Cross multiply
    290,007x = 423,877.50 × 423,877.50
  4. Step 4: Simplify right side
    290,007x = 179,672,135,006.25
  5. Step 5: Solve for x
    x = 179,672,135,006.25/290,007
  6. Step 6: Final answer
    x = 619,544.13

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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.