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Finding the Third Proportional to 180,865 and 266,070.50

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Solution

The third proportional to 180,865 and 266,070.50 is: 391,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,865 : 266,070.50 = 266,070.50 : x
  2. Step 2: Convert to fraction form
    180,865/266,070.50 = 266,070.50/x
  3. Step 3: Cross multiply
    180,865x = 266,070.50 × 266,070.50
  4. Step 4: Simplify right side
    180,865x = 70,793,510,970.25
  5. Step 5: Solve for x
    x = 70,793,510,970.25/180,865
  6. Step 6: Final answer
    x = 391,416.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.