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Finding the Third Proportional to 642,548 and 1,428,709

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Solution

The third proportional to 642,548 and 1,428,709 is: 3,176,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,548 : 1,428,709 = 1,428,709 : x
  2. Step 2: Convert to fraction form
    642,548/1,428,709 = 1,428,709/x
  3. Step 3: Cross multiply
    642,548x = 1,428,709 × 1,428,709
  4. Step 4: Simplify right side
    642,548x = 2,041,209,406,681
  5. Step 5: Solve for x
    x = 2,041,209,406,681/642,548
  6. Step 6: Final answer
    x = 3,176,742.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.