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Finding the Third Proportional to 387,824,002.88 and 617,402,968.31

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Solution

The third proportional to 387,824,002.88 and 617,402,968.31 is: 982,885,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,824,002.88 : 617,402,968.31 = 617,402,968.31 : x
  2. Step 2: Convert to fraction form
    387,824,002.88/617,402,968.31 = 617,402,968.31/x
  3. Step 3: Cross multiply
    387,824,002.88x = 617,402,968.31 × 617,402,968.31
  4. Step 4: Simplify right side
    387,824,002.88x = 381,186,425,281,085,888
  5. Step 5: Solve for x
    x = 381,186,425,281,085,888/387,824,002.88
  6. Step 6: Final answer
    x = 982,885,077.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.