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Finding the Third Proportional to 648,634,905 and 1,399,306,320

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Solution

The third proportional to 648,634,905 and 1,399,306,320 is: 3,018,736,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,634,905 : 1,399,306,320 = 1,399,306,320 : x
  2. Step 2: Convert to fraction form
    648,634,905/1,399,306,320 = 1,399,306,320/x
  3. Step 3: Cross multiply
    648,634,905x = 1,399,306,320 × 1,399,306,320
  4. Step 4: Simplify right side
    648,634,905x = 1,958,058,177,191,942,400
  5. Step 5: Solve for x
    x = 1,958,058,177,191,942,400/648,634,905
  6. Step 6: Final answer
    x = 3,018,736,984.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.