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Finding the Third Proportional to 389,797,699 and 866,748,010

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Solution

The third proportional to 389,797,699 and 866,748,010 is: 1,927,287,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,797,699 : 866,748,010 = 866,748,010 : x
  2. Step 2: Convert to fraction form
    389,797,699/866,748,010 = 866,748,010/x
  3. Step 3: Cross multiply
    389,797,699x = 866,748,010 × 866,748,010
  4. Step 4: Simplify right side
    389,797,699x = 751,252,112,838,960,128
  5. Step 5: Solve for x
    x = 751,252,112,838,960,128/389,797,699
  6. Step 6: Final answer
    x = 1,927,287,192.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.