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Finding the Third Proportional to 290,352 and 432,405

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Solution

The third proportional to 290,352 and 432,405 is: 643,956.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,352 : 432,405 = 432,405 : x
  2. Step 2: Convert to fraction form
    290,352/432,405 = 432,405/x
  3. Step 3: Cross multiply
    290,352x = 432,405 × 432,405
  4. Step 4: Simplify right side
    290,352x = 186,974,084,025
  5. Step 5: Solve for x
    x = 186,974,084,025/290,352
  6. Step 6: Final answer
    x = 643,956.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.