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Finding the Third Proportional to 169,089,658 and 261,816,465

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Solution

The third proportional to 169,089,658 and 261,816,465 is: 405,393,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,089,658 : 261,816,465 = 261,816,465 : x
  2. Step 2: Convert to fraction form
    169,089,658/261,816,465 = 261,816,465/x
  3. Step 3: Cross multiply
    169,089,658x = 261,816,465 × 261,816,465
  4. Step 4: Simplify right side
    169,089,658x = 68,547,861,345,096,224
  5. Step 5: Solve for x
    x = 68,547,861,345,096,224/169,089,658
  6. Step 6: Final answer
    x = 405,393,577.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.