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Finding the Third Proportional to 176,386.50 and 252,136.13

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Solution

The third proportional to 176,386.50 and 252,136.13 is: 360,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,386.50 : 252,136.13 = 252,136.13 : x
  2. Step 2: Convert to fraction form
    176,386.50/252,136.13 = 252,136.13/x
  3. Step 3: Cross multiply
    176,386.50x = 252,136.13 × 252,136.13
  4. Step 4: Simplify right side
    176,386.50x = 63,572,625,530.02
  5. Step 5: Solve for x
    x = 63,572,625,530.02/176,386.50
  6. Step 6: Final answer
    x = 360,416.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.