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Finding the Third Proportional to 603,572 and 905,430

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Solution

The third proportional to 603,572 and 905,430 is: 1,358,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,572 : 905,430 = 905,430 : x
  2. Step 2: Convert to fraction form
    603,572/905,430 = 905,430/x
  3. Step 3: Cross multiply
    603,572x = 905,430 × 905,430
  4. Step 4: Simplify right side
    603,572x = 819,803,484,900
  5. Step 5: Solve for x
    x = 819,803,484,900/603,572
  6. Step 6: Final answer
    x = 1,358,253.01

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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.