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Finding the Third Proportional to 66,465 and 143,365.50

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Solution

The third proportional to 66,465 and 143,365.50 is: 309,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465 : 143,365.50 = 143,365.50 : x
  2. Step 2: Convert to fraction form
    66,465/143,365.50 = 143,365.50/x
  3. Step 3: Cross multiply
    66,465x = 143,365.50 × 143,365.50
  4. Step 4: Simplify right side
    66,465x = 20,553,666,590.25
  5. Step 5: Solve for x
    x = 20,553,666,590.25/66,465
  6. Step 6: Final answer
    x = 309,240.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.