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Finding the Third Proportional to 380,712,674 and 513,670,785

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Solution

The third proportional to 380,712,674 and 513,670,785 is: 693,062,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712,674 : 513,670,785 = 513,670,785 : x
  2. Step 2: Convert to fraction form
    380,712,674/513,670,785 = 513,670,785/x
  3. Step 3: Cross multiply
    380,712,674x = 513,670,785 × 513,670,785
  4. Step 4: Simplify right side
    380,712,674x = 263,857,675,362,516,224
  5. Step 5: Solve for x
    x = 263,857,675,362,516,224/380,712,674
  6. Step 6: Final answer
    x = 693,062,494.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.