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Finding the Third Proportional to 1,142,523,821 and 1,578,708,369

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Solution

The third proportional to 1,142,523,821 and 1,578,708,369 is: 2,181,416,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,523,821 : 1,578,708,369 = 1,578,708,369 : x
  2. Step 2: Convert to fraction form
    1,142,523,821/1,578,708,369 = 1,578,708,369/x
  3. Step 3: Cross multiply
    1,142,523,821x = 1,578,708,369 × 1,578,708,369
  4. Step 4: Simplify right side
    1,142,523,821x = 2,492,320,114,350,640,128
  5. Step 5: Solve for x
    x = 2,492,320,114,350,640,128/1,142,523,821
  6. Step 6: Final answer
    x = 2,181,416,324.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.