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Finding the Third Proportional to 583,159 and 912,830

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Solution

The third proportional to 583,159 and 912,830 is: 1,428,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,159 : 912,830 = 912,830 : x
  2. Step 2: Convert to fraction form
    583,159/912,830 = 912,830/x
  3. Step 3: Cross multiply
    583,159x = 912,830 × 912,830
  4. Step 4: Simplify right side
    583,159x = 833,258,608,900
  5. Step 5: Solve for x
    x = 833,258,608,900/583,159
  6. Step 6: Final answer
    x = 1,428,870.36

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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.