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Finding the Third Proportional to 120,830,778 and 178,981,143

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Solution

The third proportional to 120,830,778 and 178,981,143 is: 265,116,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830,778 : 178,981,143 = 178,981,143 : x
  2. Step 2: Convert to fraction form
    120,830,778/178,981,143 = 178,981,143/x
  3. Step 3: Cross multiply
    120,830,778x = 178,981,143 × 178,981,143
  4. Step 4: Simplify right side
    120,830,778x = 32,034,249,549,586,448
  5. Step 5: Solve for x
    x = 32,034,249,549,586,448/120,830,778
  6. Step 6: Final answer
    x = 265,116,637.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.