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Finding the Third Proportional to 279,680,076 and 423,402,282

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Solution

The third proportional to 279,680,076 and 423,402,282 is: 640,980,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,680,076 : 423,402,282 = 423,402,282 : x
  2. Step 2: Convert to fraction form
    279,680,076/423,402,282 = 423,402,282/x
  3. Step 3: Cross multiply
    279,680,076x = 423,402,282 × 423,402,282
  4. Step 4: Simplify right side
    279,680,076x = 179,269,492,402,807,520
  5. Step 5: Solve for x
    x = 179,269,492,402,807,520/279,680,076
  6. Step 6: Final answer
    x = 640,980,562.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.