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Finding the Third Proportional to 290,270,688.75 and 626,717,695.50

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Solution

The third proportional to 290,270,688.75 and 626,717,695.50 is: 1,353,133,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,270,688.75 : 626,717,695.50 = 626,717,695.50 : x
  2. Step 2: Convert to fraction form
    290,270,688.75/626,717,695.50 = 626,717,695.50/x
  3. Step 3: Cross multiply
    290,270,688.75x = 626,717,695.50 × 626,717,695.50
  4. Step 4: Simplify right side
    290,270,688.75x = 392,775,069,852,830,720
  5. Step 5: Solve for x
    x = 392,775,069,852,830,720/290,270,688.75
  6. Step 6: Final answer
    x = 1,353,133,764.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.