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Finding the Third Proportional to 4,973,688 and 7,680,312

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Solution

The third proportional to 4,973,688 and 7,680,312 is: 11,859,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973,688 : 7,680,312 = 7,680,312 : x
  2. Step 2: Convert to fraction form
    4,973,688/7,680,312 = 7,680,312/x
  3. Step 3: Cross multiply
    4,973,688x = 7,680,312 × 7,680,312
  4. Step 4: Simplify right side
    4,973,688x = 58,987,192,417,344
  5. Step 5: Solve for x
    x = 58,987,192,417,344/4,973,688
  6. Step 6: Final answer
    x = 11,859,849.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.