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Finding the Third Proportional to 6,931,440 and 15,456,643

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Solution

The third proportional to 6,931,440 and 15,456,643 is: 34,467,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,440 : 15,456,643 = 15,456,643 : x
  2. Step 2: Convert to fraction form
    6,931,440/15,456,643 = 15,456,643/x
  3. Step 3: Cross multiply
    6,931,440x = 15,456,643 × 15,456,643
  4. Step 4: Simplify right side
    6,931,440x = 238,907,812,829,449
  5. Step 5: Solve for x
    x = 238,907,812,829,449/6,931,440
  6. Step 6: Final answer
    x = 34,467,269.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.