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Finding the Third Proportional to 387,315 and 528,031

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Solution

The third proportional to 387,315 and 528,031 is: 719,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,315 : 528,031 = 528,031 : x
  2. Step 2: Convert to fraction form
    387,315/528,031 = 528,031/x
  3. Step 3: Cross multiply
    387,315x = 528,031 × 528,031
  4. Step 4: Simplify right side
    387,315x = 278,816,736,961
  5. Step 5: Solve for x
    x = 278,816,736,961/387,315
  6. Step 6: Final answer
    x = 719,870.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.