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Finding the Third Proportional to 187,038.75 and 290,207.06

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Solution

The third proportional to 187,038.75 and 290,207.06 is: 450,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,038.75 : 290,207.06 = 290,207.06 : x
  2. Step 2: Convert to fraction form
    187,038.75/290,207.06 = 290,207.06/x
  3. Step 3: Cross multiply
    187,038.75x = 290,207.06 × 290,207.06
  4. Step 4: Simplify right side
    187,038.75x = 84,220,139,124.88
  5. Step 5: Solve for x
    x = 84,220,139,124.88/187,038.75
  6. Step 6: Final answer
    x = 450,281.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.