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Finding the Third Proportional to 310,866,952 and 643,743,870

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Solution

The third proportional to 310,866,952 and 643,743,870 is: 1,333,066,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,866,952 : 643,743,870 = 643,743,870 : x
  2. Step 2: Convert to fraction form
    310,866,952/643,743,870 = 643,743,870/x
  3. Step 3: Cross multiply
    310,866,952x = 643,743,870 × 643,743,870
  4. Step 4: Simplify right side
    310,866,952x = 414,406,170,162,576,896
  5. Step 5: Solve for x
    x = 414,406,170,162,576,896/310,866,952
  6. Step 6: Final answer
    x = 1,333,066,019.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.