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Finding the Third Proportional to 256,553,316 and 560,132,937

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Solution

The third proportional to 256,553,316 and 560,132,937 is: 1,222,938,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553,316 : 560,132,937 = 560,132,937 : x
  2. Step 2: Convert to fraction form
    256,553,316/560,132,937 = 560,132,937/x
  3. Step 3: Cross multiply
    256,553,316x = 560,132,937 × 560,132,937
  4. Step 4: Simplify right side
    256,553,316x = 313,748,907,112,245,952
  5. Step 5: Solve for x
    x = 313,748,907,112,245,952/256,553,316
  6. Step 6: Final answer
    x = 1,222,938,420.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.