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Finding the Third Proportional to 459,613,075 and 687,791,188

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Solution

The third proportional to 459,613,075 and 687,791,188 is: 1,029,249,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,613,075 : 687,791,188 = 687,791,188 : x
  2. Step 2: Convert to fraction form
    459,613,075/687,791,188 = 687,791,188/x
  3. Step 3: Cross multiply
    459,613,075x = 687,791,188 × 687,791,188
  4. Step 4: Simplify right side
    459,613,075x = 473,056,718,290,451,328
  5. Step 5: Solve for x
    x = 473,056,718,290,451,328/459,613,075
  6. Step 6: Final answer
    x = 1,029,249,914.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.