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Finding the Third Proportional to 454,321 and 712,737

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Solution

The third proportional to 454,321 and 712,737 is: 1,118,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,321 : 712,737 = 712,737 : x
  2. Step 2: Convert to fraction form
    454,321/712,737 = 712,737/x
  3. Step 3: Cross multiply
    454,321x = 712,737 × 712,737
  4. Step 4: Simplify right side
    454,321x = 507,994,031,169
  5. Step 5: Solve for x
    x = 507,994,031,169/454,321
  6. Step 6: Final answer
    x = 1,118,139.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.