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Finding the Third Proportional to 438,666,917.63 and 681,428,068.88

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Solution

The third proportional to 438,666,917.63 and 681,428,068.88 is: 1,058,534,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,666,917.63 : 681,428,068.88 = 681,428,068.88 : x
  2. Step 2: Convert to fraction form
    438,666,917.63/681,428,068.88 = 681,428,068.88/x
  3. Step 3: Cross multiply
    438,666,917.63x = 681,428,068.88 × 681,428,068.88
  4. Step 4: Simplify right side
    438,666,917.63x = 464,344,213,050,711,744
  5. Step 5: Solve for x
    x = 464,344,213,050,711,744/438,666,917.63
  6. Step 6: Final answer
    x = 1,058,534,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.