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Finding the Third Proportional to 388,316 and 830,618

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Solution

The third proportional to 388,316 and 830,618 is: 1,776,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,316 : 830,618 = 830,618 : x
  2. Step 2: Convert to fraction form
    388,316/830,618 = 830,618/x
  3. Step 3: Cross multiply
    388,316x = 830,618 × 830,618
  4. Step 4: Simplify right side
    388,316x = 689,926,261,924
  5. Step 5: Solve for x
    x = 689,926,261,924/388,316
  6. Step 6: Final answer
    x = 1,776,713.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.