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Finding the Third Proportional to 66,535 and 143,730

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Solution

The third proportional to 66,535 and 143,730 is: 310,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,535 : 143,730 = 143,730 : x
  2. Step 2: Convert to fraction form
    66,535/143,730 = 143,730/x
  3. Step 3: Cross multiply
    66,535x = 143,730 × 143,730
  4. Step 4: Simplify right side
    66,535x = 20,658,312,900
  5. Step 5: Solve for x
    x = 20,658,312,900/66,535
  6. Step 6: Final answer
    x = 310,487.91

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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.