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Finding the Third Proportional to 310,866,950 and 643,743,866

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Solution

The third proportional to 310,866,950 and 643,743,866 is: 1,333,066,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,866,950 : 643,743,866 = 643,743,866 : x
  2. Step 2: Convert to fraction form
    310,866,950/643,743,866 = 643,743,866/x
  3. Step 3: Cross multiply
    310,866,950x = 643,743,866 × 643,743,866
  4. Step 4: Simplify right side
    310,866,950x = 414,406,165,012,625,984
  5. Step 5: Solve for x
    x = 414,406,165,012,625,984/310,866,950
  6. Step 6: Final answer
    x = 1,333,066,011.08

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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.