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Finding the Third Proportional to 145,892,760 and 315,995,592

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Solution

The third proportional to 145,892,760 and 315,995,592 is: 684,428,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,892,760 : 315,995,592 = 315,995,592 : x
  2. Step 2: Convert to fraction form
    145,892,760/315,995,592 = 315,995,592/x
  3. Step 3: Cross multiply
    145,892,760x = 315,995,592 × 315,995,592
  4. Step 4: Simplify right side
    145,892,760x = 99,853,214,163,430,464
  5. Step 5: Solve for x
    x = 99,853,214,163,430,464/145,892,760
  6. Step 6: Final answer
    x = 684,428,851.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.