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Finding the Third Proportional to 129,034,663.03 and 278,629,768.69

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Solution

The third proportional to 129,034,663.03 and 278,629,768.69 is: 601,656,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,034,663.03 : 278,629,768.69 = 278,629,768.69 : x
  2. Step 2: Convert to fraction form
    129,034,663.03/278,629,768.69 = 278,629,768.69/x
  3. Step 3: Cross multiply
    129,034,663.03x = 278,629,768.69 × 278,629,768.69
  4. Step 4: Simplify right side
    129,034,663.03x = 77,634,547,998,849,760
  5. Step 5: Solve for x
    x = 77,634,547,998,849,760/129,034,663.03
  6. Step 6: Final answer
    x = 601,656,533.02

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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.