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Finding the Third Proportional to 389,181,363 and 626,710,170

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Solution

The third proportional to 389,181,363 and 626,710,170 is: 1,009,209,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,181,363 : 626,710,170 = 626,710,170 : x
  2. Step 2: Convert to fraction form
    389,181,363/626,710,170 = 626,710,170/x
  3. Step 3: Cross multiply
    389,181,363x = 626,710,170 × 626,710,170
  4. Step 4: Simplify right side
    389,181,363x = 392,765,637,181,428,928
  5. Step 5: Solve for x
    x = 392,765,637,181,428,928/389,181,363
  6. Step 6: Final answer
    x = 1,009,209,778.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.