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Finding the Third Proportional to 309,139,678.13 and 666,705,543.75

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Solution

The third proportional to 309,139,678.13 and 666,705,543.75 is: 1,437,849,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,678.13 : 666,705,543.75 = 666,705,543.75 : x
  2. Step 2: Convert to fraction form
    309,139,678.13/666,705,543.75 = 666,705,543.75/x
  3. Step 3: Cross multiply
    309,139,678.13x = 666,705,543.75 × 666,705,543.75
  4. Step 4: Simplify right side
    309,139,678.13x = 444,496,282,066,983,168
  5. Step 5: Solve for x
    x = 444,496,282,066,983,168/309,139,678.13
  6. Step 6: Final answer
    x = 1,437,849,339.70

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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.