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Finding the Third Proportional to 31,443,840 and 66,666,768

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Solution

The third proportional to 31,443,840 and 66,666,768 is: 141,345,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443,840 : 66,666,768 = 66,666,768 : x
  2. Step 2: Convert to fraction form
    31,443,840/66,666,768 = 66,666,768/x
  3. Step 3: Cross multiply
    31,443,840x = 66,666,768 × 66,666,768
  4. Step 4: Simplify right side
    31,443,840x = 4,444,457,955,565,824
  5. Step 5: Solve for x
    x = 4,444,457,955,565,824/31,443,840
  6. Step 6: Final answer
    x = 141,345,902.90

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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.