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Finding the Third Proportional to 10,212,712 and 15,812,784

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Solution

The third proportional to 10,212,712 and 15,812,784 is: 24,483,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212,712 : 15,812,784 = 15,812,784 : x
  2. Step 2: Convert to fraction form
    10,212,712/15,812,784 = 15,812,784/x
  3. Step 3: Cross multiply
    10,212,712x = 15,812,784 × 15,812,784
  4. Step 4: Simplify right side
    10,212,712x = 250,044,137,830,656
  5. Step 5: Solve for x
    x = 250,044,137,830,656/10,212,712
  6. Step 6: Final answer
    x = 24,483,617.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.