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Finding the Third Proportional to 85,432,934 and 186,390,457

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Solution

The third proportional to 85,432,934 and 186,390,457 is: 406,651,168.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,432,934 : 186,390,457 = 186,390,457 : x
  2. Step 2: Convert to fraction form
    85,432,934/186,390,457 = 186,390,457/x
  3. Step 3: Cross multiply
    85,432,934x = 186,390,457 × 186,390,457
  4. Step 4: Simplify right side
    85,432,934x = 34,741,402,460,668,848
  5. Step 5: Solve for x
    x = 34,741,402,460,668,848/85,432,934
  6. Step 6: Final answer
    x = 406,651,168.75

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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.