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Finding the Third Proportional to 7,861,547 and 11,792,321

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Solution

The third proportional to 7,861,547 and 11,792,321 is: 17,688,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861,547 : 11,792,321 = 11,792,321 : x
  2. Step 2: Convert to fraction form
    7,861,547/11,792,321 = 11,792,321/x
  3. Step 3: Cross multiply
    7,861,547x = 11,792,321 × 11,792,321
  4. Step 4: Simplify right side
    7,861,547x = 139,058,834,567,041
  5. Step 5: Solve for x
    x = 139,058,834,567,041/7,861,547
  6. Step 6: Final answer
    x = 17,688,482.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.