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Finding the Third Proportional to 142,074 and 306,681.75

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Solution

The third proportional to 142,074 and 306,681.75 is: 662,004.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074 : 306,681.75 = 306,681.75 : x
  2. Step 2: Convert to fraction form
    142,074/306,681.75 = 306,681.75/x
  3. Step 3: Cross multiply
    142,074x = 306,681.75 × 306,681.75
  4. Step 4: Simplify right side
    142,074x = 94,053,695,783.06
  5. Step 5: Solve for x
    x = 94,053,695,783.06/142,074
  6. Step 6: Final answer
    x = 662,004.98

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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.