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Finding the Third Proportional to 645,359,190 and 975,722,121

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Solution

The third proportional to 645,359,190 and 975,722,121 is: 1,475,199,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,359,190 : 975,722,121 = 975,722,121 : x
  2. Step 2: Convert to fraction form
    645,359,190/975,722,121 = 975,722,121/x
  3. Step 3: Cross multiply
    645,359,190x = 975,722,121 × 975,722,121
  4. Step 4: Simplify right side
    645,359,190x = 952,033,657,408,738,688
  5. Step 5: Solve for x
    x = 952,033,657,408,738,688/645,359,190
  6. Step 6: Final answer
    x = 1,475,199,659.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.