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Finding the Third Proportional to 152,029 and 210,637

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Solution

The third proportional to 152,029 and 210,637 is: 291,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029 : 210,637 = 210,637 : x
  2. Step 2: Convert to fraction form
    152,029/210,637 = 210,637/x
  3. Step 3: Cross multiply
    152,029x = 210,637 × 210,637
  4. Step 4: Simplify right side
    152,029x = 44,367,945,769
  5. Step 5: Solve for x
    x = 44,367,945,769/152,029
  6. Step 6: Final answer
    x = 291,838.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.