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Finding the Third Proportional to 287,864,402 and 410,264,848

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Solution

The third proportional to 287,864,402 and 410,264,848 is: 584,710,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,864,402 : 410,264,848 = 410,264,848 : x
  2. Step 2: Convert to fraction form
    287,864,402/410,264,848 = 410,264,848/x
  3. Step 3: Cross multiply
    287,864,402x = 410,264,848 × 410,264,848
  4. Step 4: Simplify right side
    287,864,402x = 168,317,245,504,463,104
  5. Step 5: Solve for x
    x = 168,317,245,504,463,104/287,864,402
  6. Step 6: Final answer
    x = 584,710,177.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.