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Finding the Third Proportional to 178,128,896 and 392,492,008

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Solution

The third proportional to 178,128,896 and 392,492,008 is: 864,823,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,128,896 : 392,492,008 = 392,492,008 : x
  2. Step 2: Convert to fraction form
    178,128,896/392,492,008 = 392,492,008/x
  3. Step 3: Cross multiply
    178,128,896x = 392,492,008 × 392,492,008
  4. Step 4: Simplify right side
    178,128,896x = 154,049,976,343,872,064
  5. Step 5: Solve for x
    x = 154,049,976,343,872,064/178,128,896
  6. Step 6: Final answer
    x = 864,823,056.80

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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.