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Finding the Third Proportional to 520,342,704 and 1,126,423,341

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Solution

The third proportional to 520,342,704 and 1,126,423,341 is: 2,438,449,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,342,704 : 1,126,423,341 = 1,126,423,341 : x
  2. Step 2: Convert to fraction form
    520,342,704/1,126,423,341 = 1,126,423,341/x
  3. Step 3: Cross multiply
    520,342,704x = 1,126,423,341 × 1,126,423,341
  4. Step 4: Simplify right side
    520,342,704x = 1,268,829,543,149,602,304
  5. Step 5: Solve for x
    x = 1,268,829,543,149,602,304/520,342,704
  6. Step 6: Final answer
    x = 2,438,449,762.81

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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.