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Finding the Third Proportional to 146,254,406,182 and 205,958,432,480

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Solution

The third proportional to 146,254,406,182 and 205,958,432,480 is: 290,034,857,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,254,406,182 : 205,958,432,480 = 205,958,432,480 : x
  2. Step 2: Convert to fraction form
    146,254,406,182/205,958,432,480 = 205,958,432,480/x
  3. Step 3: Cross multiply
    146,254,406,182x = 205,958,432,480 × 205,958,432,480
  4. Step 4: Simplify right side
    146,254,406,182x = 42,418,875,909,618,716,901,376
  5. Step 5: Solve for x
    x = 42,418,875,909,618,716,901,376/146,254,406,182
  6. Step 6: Final answer
    x = 290,034,857,868.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.