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Finding the Third Proportional to 212,012,618 and 318,243,291

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Solution

The third proportional to 212,012,618 and 318,243,291 is: 477,701,719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,012,618 : 318,243,291 = 318,243,291 : x
  2. Step 2: Convert to fraction form
    212,012,618/318,243,291 = 318,243,291/x
  3. Step 3: Cross multiply
    212,012,618x = 318,243,291 × 318,243,291
  4. Step 4: Simplify right side
    212,012,618x = 101,278,792,266,510,688
  5. Step 5: Solve for x
    x = 101,278,792,266,510,688/212,012,618
  6. Step 6: Final answer
    x = 477,701,719.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.