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Finding the Third Proportional to 68,955,490 and 146,316,720

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Solution

The third proportional to 68,955,490 and 146,316,720 is: 310,469,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,955,490 : 146,316,720 = 146,316,720 : x
  2. Step 2: Convert to fraction form
    68,955,490/146,316,720 = 146,316,720/x
  3. Step 3: Cross multiply
    68,955,490x = 146,316,720 × 146,316,720
  4. Step 4: Simplify right side
    68,955,490x = 21,408,582,551,558,400
  5. Step 5: Solve for x
    x = 21,408,582,551,558,400/68,955,490
  6. Step 6: Final answer
    x = 310,469,587.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.