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Finding the Third Proportional to 430,659,620 and 668,133,618

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Solution

The third proportional to 430,659,620 and 668,133,618 is: 1,036,555,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,659,620 : 668,133,618 = 668,133,618 : x
  2. Step 2: Convert to fraction form
    430,659,620/668,133,618 = 668,133,618/x
  3. Step 3: Cross multiply
    430,659,620x = 668,133,618 × 668,133,618
  4. Step 4: Simplify right side
    430,659,620x = 446,402,531,501,769,920
  5. Step 5: Solve for x
    x = 446,402,531,501,769,920/430,659,620
  6. Step 6: Final answer
    x = 1,036,555,346.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.