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Finding the Third Proportional to 402,148.50 and 626,955

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Solution

The third proportional to 402,148.50 and 626,955 is: 977,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,148.50 : 626,955 = 626,955 : x
  2. Step 2: Convert to fraction form
    402,148.50/626,955 = 626,955/x
  3. Step 3: Cross multiply
    402,148.50x = 626,955 × 626,955
  4. Step 4: Simplify right side
    402,148.50x = 393,072,572,025
  5. Step 5: Solve for x
    x = 393,072,572,025/402,148.50
  6. Step 6: Final answer
    x = 977,431.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.