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Finding the Third Proportional to 398,141,028 and 569,342,358

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Solution

The third proportional to 398,141,028 and 569,342,358 is: 814,160,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,141,028 : 569,342,358 = 569,342,358 : x
  2. Step 2: Convert to fraction form
    398,141,028/569,342,358 = 569,342,358/x
  3. Step 3: Cross multiply
    398,141,028x = 569,342,358 × 569,342,358
  4. Step 4: Simplify right side
    398,141,028x = 324,150,720,613,000,192
  5. Step 5: Solve for x
    x = 324,150,720,613,000,192/398,141,028
  6. Step 6: Final answer
    x = 814,160,555.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.