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Finding the Third Proportional to 287,848,368 and 631,701,432

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Solution

The third proportional to 287,848,368 and 631,701,432 is: 1,386,308,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,848,368 : 631,701,432 = 631,701,432 : x
  2. Step 2: Convert to fraction form
    287,848,368/631,701,432 = 631,701,432/x
  3. Step 3: Cross multiply
    287,848,368x = 631,701,432 × 631,701,432
  4. Step 4: Simplify right side
    287,848,368x = 399,046,699,190,850,624
  5. Step 5: Solve for x
    x = 399,046,699,190,850,624/287,848,368
  6. Step 6: Final answer
    x = 1,386,308,708.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.