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Finding the Third Proportional to 354,208,778 and 555,598,708

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Solution

The third proportional to 354,208,778 and 555,598,708 is: 871,491,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,208,778 : 555,598,708 = 555,598,708 : x
  2. Step 2: Convert to fraction form
    354,208,778/555,598,708 = 555,598,708/x
  3. Step 3: Cross multiply
    354,208,778x = 555,598,708 × 555,598,708
  4. Step 4: Simplify right side
    354,208,778x = 308,689,924,331,269,248
  5. Step 5: Solve for x
    x = 308,689,924,331,269,248/354,208,778
  6. Step 6: Final answer
    x = 871,491,457.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.