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Finding the Third Proportional to 145,892,670 and 315,995,484

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Solution

The third proportional to 145,892,670 and 315,995,484 is: 684,428,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,892,670 : 315,995,484 = 315,995,484 : x
  2. Step 2: Convert to fraction form
    145,892,670/315,995,484 = 315,995,484/x
  3. Step 3: Cross multiply
    145,892,670x = 315,995,484 × 315,995,484
  4. Step 4: Simplify right side
    145,892,670x = 99,853,145,908,394,256
  5. Step 5: Solve for x
    x = 99,853,145,908,394,256/145,892,670
  6. Step 6: Final answer
    x = 684,428,805.84

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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.