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Finding the Third Proportional to 66,297,690 and 144,638,082

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Solution

The third proportional to 66,297,690 and 144,638,082 is: 315,549,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,297,690 : 144,638,082 = 144,638,082 : x
  2. Step 2: Convert to fraction form
    66,297,690/144,638,082 = 144,638,082/x
  3. Step 3: Cross multiply
    66,297,690x = 144,638,082 × 144,638,082
  4. Step 4: Simplify right side
    66,297,690x = 20,920,174,764,638,724
  5. Step 5: Solve for x
    x = 20,920,174,764,638,724/66,297,690
  6. Step 6: Final answer
    x = 315,549,075.16

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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.