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Finding the Third Proportional to 64,966,272.89 and 144,457,980.89

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Solution

The third proportional to 64,966,272.89 and 144,457,980.89 is: 321,214,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966,272.89 : 144,457,980.89 = 144,457,980.89 : x
  2. Step 2: Convert to fraction form
    64,966,272.89/144,457,980.89 = 144,457,980.89/x
  3. Step 3: Cross multiply
    64,966,272.89x = 144,457,980.89 × 144,457,980.89
  4. Step 4: Simplify right side
    64,966,272.89x = 20,868,108,242,994,732
  5. Step 5: Solve for x
    x = 20,868,108,242,994,732/64,966,272.89
  6. Step 6: Final answer
    x = 321,214,490.45

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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.