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Finding the Third Proportional to 66,430.13 and 145,315.90

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Solution

The third proportional to 66,430.13 and 145,315.90 is: 317,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,430.13 : 145,315.90 = 145,315.90 : x
  2. Step 2: Convert to fraction form
    66,430.13/145,315.90 = 145,315.90/x
  3. Step 3: Cross multiply
    66,430.13x = 145,315.90 × 145,315.90
  4. Step 4: Simplify right side
    66,430.13x = 21,116,710,338.70
  5. Step 5: Solve for x
    x = 21,116,710,338.70/66,430.13
  6. Step 6: Final answer
    x = 317,878.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.