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Finding the Third Proportional to 66,423 and 143,398.50

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Solution

The third proportional to 66,423 and 143,398.50 is: 309,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,423 : 143,398.50 = 143,398.50 : x
  2. Step 2: Convert to fraction form
    66,423/143,398.50 = 143,398.50/x
  3. Step 3: Cross multiply
    66,423x = 143,398.50 × 143,398.50
  4. Step 4: Simplify right side
    66,423x = 20,563,129,802.25
  5. Step 5: Solve for x
    x = 20,563,129,802.25/66,423
  6. Step 6: Final answer
    x = 309,578.46

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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.