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Finding the Third Proportional to 389,181,376.50 and 626,710,189.13

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Solution

The third proportional to 389,181,376.50 and 626,710,189.13 is: 1,009,209,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,181,376.50 : 626,710,189.13 = 626,710,189.13 : x
  2. Step 2: Convert to fraction form
    389,181,376.50/626,710,189.13 = 626,710,189.13/x
  3. Step 3: Cross multiply
    389,181,376.50x = 626,710,189.13 × 626,710,189.13
  4. Step 4: Simplify right side
    389,181,376.50x = 392,765,661,153,093,248
  5. Step 5: Solve for x
    x = 392,765,661,153,093,248/389,181,376.50
  6. Step 6: Final answer
    x = 1,009,209,805.17

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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.