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Finding the Third Proportional to 212,412,389.50 and 328,051,844.50

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Solution

The third proportional to 212,412,389.50 and 328,051,844.50 is: 506,646,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,389.50 : 328,051,844.50 = 328,051,844.50 : x
  2. Step 2: Convert to fraction form
    212,412,389.50/328,051,844.50 = 328,051,844.50/x
  3. Step 3: Cross multiply
    212,412,389.50x = 328,051,844.50 × 328,051,844.50
  4. Step 4: Simplify right side
    212,412,389.50x = 107,618,012,679,852,176
  5. Step 5: Solve for x
    x = 107,618,012,679,852,176/212,412,389.50
  6. Step 6: Final answer
    x = 506,646,589.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.