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Finding the Third Proportional to 144,058,421.53 and 309,965,952.66

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Solution

The third proportional to 144,058,421.53 and 309,965,952.66 is: 666,943,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,058,421.53 : 309,965,952.66 = 309,965,952.66 : x
  2. Step 2: Convert to fraction form
    144,058,421.53/309,965,952.66 = 309,965,952.66/x
  3. Step 3: Cross multiply
    144,058,421.53x = 309,965,952.66 × 309,965,952.66
  4. Step 4: Simplify right side
    144,058,421.53x = 96,078,891,806,096,624
  5. Step 5: Solve for x
    x = 96,078,891,806,096,624/144,058,421.53
  6. Step 6: Final answer
    x = 666,943,943.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.