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Finding the Third Proportional to 285,653,143.25 and 402,262,572

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Solution

The third proportional to 285,653,143.25 and 402,262,572 is: 566,474,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,653,143.25 : 402,262,572 = 402,262,572 : x
  2. Step 2: Convert to fraction form
    285,653,143.25/402,262,572 = 402,262,572/x
  3. Step 3: Cross multiply
    285,653,143.25x = 402,262,572 × 402,262,572
  4. Step 4: Simplify right side
    285,653,143.25x = 161,815,176,832,055,168
  5. Step 5: Solve for x
    x = 161,815,176,832,055,168/285,653,143.25
  6. Step 6: Final answer
    x = 566,474,343.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.