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Finding the Third Proportional to 406,312 and 618,528

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Solution

The third proportional to 406,312 and 618,528 is: 941,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,312 : 618,528 = 618,528 : x
  2. Step 2: Convert to fraction form
    406,312/618,528 = 618,528/x
  3. Step 3: Cross multiply
    406,312x = 618,528 × 618,528
  4. Step 4: Simplify right side
    406,312x = 382,576,886,784
  5. Step 5: Solve for x
    x = 382,576,886,784/406,312
  6. Step 6: Final answer
    x = 941,584.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.