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Finding the Third Proportional to 142,021.90 and 303,726.80

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Solution

The third proportional to 142,021.90 and 303,726.80 is: 649,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,021.90 : 303,726.80 = 303,726.80 : x
  2. Step 2: Convert to fraction form
    142,021.90/303,726.80 = 303,726.80/x
  3. Step 3: Cross multiply
    142,021.90x = 303,726.80 × 303,726.80
  4. Step 4: Simplify right side
    142,021.90x = 92,249,967,139.95
  5. Step 5: Solve for x
    x = 92,249,967,139.95/142,021.90
  6. Step 6: Final answer
    x = 649,547.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.