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Finding the Third Proportional to 165,943 and 390,069

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Solution

The third proportional to 165,943 and 390,069 is: 916,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,943 : 390,069 = 390,069 : x
  2. Step 2: Convert to fraction form
    165,943/390,069 = 390,069/x
  3. Step 3: Cross multiply
    165,943x = 390,069 × 390,069
  4. Step 4: Simplify right side
    165,943x = 152,153,824,761
  5. Step 5: Solve for x
    x = 152,153,824,761/165,943
  6. Step 6: Final answer
    x = 916,904.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.