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Finding the Third Proportional to 987,768 and 1,477,440

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Solution

The third proportional to 987,768 and 1,477,440 is: 2,209,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,768 : 1,477,440 = 1,477,440 : x
  2. Step 2: Convert to fraction form
    987,768/1,477,440 = 1,477,440/x
  3. Step 3: Cross multiply
    987,768x = 1,477,440 × 1,477,440
  4. Step 4: Simplify right side
    987,768x = 2,182,828,953,600
  5. Step 5: Solve for x
    x = 2,182,828,953,600/987,768
  6. Step 6: Final answer
    x = 2,209,859.96

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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.