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Finding the Third Proportional to 690,459.75 and 928,779.75

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Solution

The third proportional to 690,459.75 and 928,779.75 is: 1,249,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,459.75 : 928,779.75 = 928,779.75 : x
  2. Step 2: Convert to fraction form
    690,459.75/928,779.75 = 928,779.75/x
  3. Step 3: Cross multiply
    690,459.75x = 928,779.75 × 928,779.75
  4. Step 4: Simplify right side
    690,459.75x = 862,631,824,010.06
  5. Step 5: Solve for x
    x = 862,631,824,010.06/690,459.75
  6. Step 6: Final answer
    x = 1,249,358.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.