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Finding the Third Proportional to 64,966,273.31 and 144,457,981.78

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Solution

The third proportional to 64,966,273.31 and 144,457,981.78 is: 321,214,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966,273.31 : 144,457,981.78 = 144,457,981.78 : x
  2. Step 2: Convert to fraction form
    64,966,273.31/144,457,981.78 = 144,457,981.78/x
  3. Step 3: Cross multiply
    64,966,273.31x = 144,457,981.78 × 144,457,981.78
  4. Step 4: Simplify right side
    64,966,273.31x = 20,868,108,500,311,956
  5. Step 5: Solve for x
    x = 20,868,108,500,311,956/64,966,273.31
  6. Step 6: Final answer
    x = 321,214,492.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.