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Finding the Third Proportional to 309,139,633 and 666,705,459

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Solution

The third proportional to 309,139,633 and 666,705,459 is: 1,437,849,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,633 : 666,705,459 = 666,705,459 : x
  2. Step 2: Convert to fraction form
    309,139,633/666,705,459 = 666,705,459/x
  3. Step 3: Cross multiply
    309,139,633x = 666,705,459 × 666,705,459
  4. Step 4: Simplify right side
    309,139,633x = 444,496,169,060,400,704
  5. Step 5: Solve for x
    x = 444,496,169,060,400,704/309,139,633
  6. Step 6: Final answer
    x = 1,437,849,184.03

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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.