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Finding the Third Proportional to 77,605,095 and 121,739,550

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Solution

The third proportional to 77,605,095 and 121,739,550 is: 190,973,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,605,095 : 121,739,550 = 121,739,550 : x
  2. Step 2: Convert to fraction form
    77,605,095/121,739,550 = 121,739,550/x
  3. Step 3: Cross multiply
    77,605,095x = 121,739,550 × 121,739,550
  4. Step 4: Simplify right side
    77,605,095x = 14,820,518,034,202,500
  5. Step 5: Solve for x
    x = 14,820,518,034,202,500/77,605,095
  6. Step 6: Final answer
    x = 190,973,518.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.