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Finding the Third Proportional to 66,428 and 143,710

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Solution

The third proportional to 66,428 and 143,710 is: 310,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,428 : 143,710 = 143,710 : x
  2. Step 2: Convert to fraction form
    66,428/143,710 = 143,710/x
  3. Step 3: Cross multiply
    66,428x = 143,710 × 143,710
  4. Step 4: Simplify right side
    66,428x = 20,652,564,100
  5. Step 5: Solve for x
    x = 20,652,564,100/66,428
  6. Step 6: Final answer
    x = 310,901.49

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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.