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Finding the Third Proportional to 309,139,637.81 and 666,705,469.13

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Solution

The third proportional to 309,139,637.81 and 666,705,469.13 is: 1,437,849,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,637.81 : 666,705,469.13 = 666,705,469.13 : x
  2. Step 2: Convert to fraction form
    309,139,637.81/666,705,469.13 = 666,705,469.13/x
  3. Step 3: Cross multiply
    309,139,637.81x = 666,705,469.13 × 666,705,469.13
  4. Step 4: Simplify right side
    309,139,637.81x = 444,496,182,561,186,304
  5. Step 5: Solve for x
    x = 444,496,182,561,186,304/309,139,637.81
  6. Step 6: Final answer
    x = 1,437,849,205.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.