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Finding the Third Proportional to 407,438,688.50 and 882,564,918.50

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Solution

The third proportional to 407,438,688.50 and 882,564,918.50 is: 1,911,749,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,438,688.50 : 882,564,918.50 = 882,564,918.50 : x
  2. Step 2: Convert to fraction form
    407,438,688.50/882,564,918.50 = 882,564,918.50/x
  3. Step 3: Cross multiply
    407,438,688.50x = 882,564,918.50 × 882,564,918.50
  4. Step 4: Simplify right side
    407,438,688.50x = 778,920,835,366,911,616
  5. Step 5: Solve for x
    x = 778,920,835,366,911,616/407,438,688.50
  6. Step 6: Final answer
    x = 1,911,749,810.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.