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Finding the Third Proportional to 156,565 and 348,987

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Solution

The third proportional to 156,565 and 348,987 is: 777,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,565 : 348,987 = 348,987 : x
  2. Step 2: Convert to fraction form
    156,565/348,987 = 348,987/x
  3. Step 3: Cross multiply
    156,565x = 348,987 × 348,987
  4. Step 4: Simplify right side
    156,565x = 121,791,926,169
  5. Step 5: Solve for x
    x = 121,791,926,169/156,565
  6. Step 6: Final answer
    x = 777,900.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.