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Finding the Third Proportional to 400,722,642 and 613,001,709

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Solution

The third proportional to 400,722,642 and 613,001,709 is: 937,733,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,722,642 : 613,001,709 = 613,001,709 : x
  2. Step 2: Convert to fraction form
    400,722,642/613,001,709 = 613,001,709/x
  3. Step 3: Cross multiply
    400,722,642x = 613,001,709 × 613,001,709
  4. Step 4: Simplify right side
    400,722,642x = 375,771,095,236,920,704
  5. Step 5: Solve for x
    x = 375,771,095,236,920,704/400,722,642
  6. Step 6: Final answer
    x = 937,733,623.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.