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Finding the Third Proportional to 178,129,018 and 392,492,216

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Solution

The third proportional to 178,129,018 and 392,492,216 is: 864,823,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,129,018 : 392,492,216 = 392,492,216 : x
  2. Step 2: Convert to fraction form
    178,129,018/392,492,216 = 392,492,216/x
  3. Step 3: Cross multiply
    178,129,018x = 392,492,216 × 392,492,216
  4. Step 4: Simplify right side
    178,129,018x = 154,050,139,620,590,656
  5. Step 5: Solve for x
    x = 154,050,139,620,590,656/178,129,018
  6. Step 6: Final answer
    x = 864,823,381.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.