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Finding the Third Proportional to 85,432,937 and 186,390,463

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Solution

The third proportional to 85,432,937 and 186,390,463 is: 406,651,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,432,937 : 186,390,463 = 186,390,463 : x
  2. Step 2: Convert to fraction form
    85,432,937/186,390,463 = 186,390,463/x
  3. Step 3: Cross multiply
    85,432,937x = 186,390,463 × 186,390,463
  4. Step 4: Simplify right side
    85,432,937x = 34,741,404,697,354,368
  5. Step 5: Solve for x
    x = 34,741,404,697,354,368/85,432,937
  6. Step 6: Final answer
    x = 406,651,180.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.