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Finding the Third Proportional to 140,187,942 and 306,803,430

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Solution

The third proportional to 140,187,942 and 306,803,430 is: 671,443,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187,942 : 306,803,430 = 306,803,430 : x
  2. Step 2: Convert to fraction form
    140,187,942/306,803,430 = 306,803,430/x
  3. Step 3: Cross multiply
    140,187,942x = 306,803,430 × 306,803,430
  4. Step 4: Simplify right side
    140,187,942x = 94,128,344,659,764,896
  5. Step 5: Solve for x
    x = 94,128,344,659,764,896/140,187,942
  6. Step 6: Final answer
    x = 671,443,943.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.