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Finding the Third Proportional to 287,884,969 and 626,884,178

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Solution

The third proportional to 287,884,969 and 626,884,178 is: 1,365,072,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,884,969 : 626,884,178 = 626,884,178 : x
  2. Step 2: Convert to fraction form
    287,884,969/626,884,178 = 626,884,178/x
  3. Step 3: Cross multiply
    287,884,969x = 626,884,178 × 626,884,178
  4. Step 4: Simplify right side
    287,884,969x = 392,983,772,626,735,680
  5. Step 5: Solve for x
    x = 392,983,772,626,735,680/287,884,969
  6. Step 6: Final answer
    x = 1,365,072,216.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.