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Finding the Third Proportional to 77,169,969 and 169,884,585

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Solution

The third proportional to 77,169,969 and 169,884,585 is: 373,989,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,169,969 : 169,884,585 = 169,884,585 : x
  2. Step 2: Convert to fraction form
    77,169,969/169,884,585 = 169,884,585/x
  3. Step 3: Cross multiply
    77,169,969x = 169,884,585 × 169,884,585
  4. Step 4: Simplify right side
    77,169,969x = 28,860,772,220,622,224
  5. Step 5: Solve for x
    x = 28,860,772,220,622,224/77,169,969
  6. Step 6: Final answer
    x = 373,989,682.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.