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Finding the Third Proportional to 35,985,780 and 78,360,840

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Solution

The third proportional to 35,985,780 and 78,360,840 is: 170,634,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985,780 : 78,360,840 = 78,360,840 : x
  2. Step 2: Convert to fraction form
    35,985,780/78,360,840 = 78,360,840/x
  3. Step 3: Cross multiply
    35,985,780x = 78,360,840 × 78,360,840
  4. Step 4: Simplify right side
    35,985,780x = 6,140,421,245,505,600
  5. Step 5: Solve for x
    x = 6,140,421,245,505,600/35,985,780
  6. Step 6: Final answer
    x = 170,634,657.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.